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Finding the Third Proportional to 6,408,959,476,164.50 and 8,647,191,122,037.50

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Solution

The third proportional to 6,408,959,476,164.50 and 8,647,191,122,037.50 is: 11,667,091,136,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408,959,476,164.50 : 8,647,191,122,037.50 = 8,647,191,122,037.50 : x
  2. Step 2: Convert to fraction form
    6,408,959,476,164.50/8,647,191,122,037.50 = 8,647,191,122,037.50/x
  3. Step 3: Cross multiply
    6,408,959,476,164.50x = 8,647,191,122,037.50 × 8,647,191,122,037.50
  4. Step 4: Simplify right side
    6,408,959,476,164.50x = 74,773,914,301,044,155,962,359,808
  5. Step 5: Solve for x
    x = 74,773,914,301,044,155,962,359,808/6,408,959,476,164.50
  6. Step 6: Final answer
    x = 11,667,091,136,889.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.