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Finding the Third Proportional to 6,408,959,476,164.60 and 8,647,191,122,037.40

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Solution

The third proportional to 6,408,959,476,164.60 and 8,647,191,122,037.40 is: 11,667,091,136,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408,959,476,164.60 : 8,647,191,122,037.40 = 8,647,191,122,037.40 : x
  2. Step 2: Convert to fraction form
    6,408,959,476,164.60/8,647,191,122,037.40 = 8,647,191,122,037.40/x
  3. Step 3: Cross multiply
    6,408,959,476,164.60x = 8,647,191,122,037.40 × 8,647,191,122,037.40
  4. Step 4: Simplify right side
    6,408,959,476,164.60x = 74,773,914,301,042,437,975,441,408
  5. Step 5: Solve for x
    x = 74,773,914,301,042,437,975,441,408/6,408,959,476,164.60
  6. Step 6: Final answer
    x = 11,667,091,136,889.26

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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.