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Finding the Third Proportional to 6,408,959,476,169 and 8,647,191,122,043

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Solution

The third proportional to 6,408,959,476,169 and 8,647,191,122,043 is: 11,667,091,136,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408,959,476,169 : 8,647,191,122,043 = 8,647,191,122,043 : x
  2. Step 2: Convert to fraction form
    6,408,959,476,169/8,647,191,122,043 = 8,647,191,122,043/x
  3. Step 3: Cross multiply
    6,408,959,476,169x = 8,647,191,122,043 × 8,647,191,122,043
  4. Step 4: Simplify right side
    6,408,959,476,169x = 74,773,914,301,139,280,898,031,616
  5. Step 5: Solve for x
    x = 74,773,914,301,139,280,898,031,616/6,408,959,476,169
  6. Step 6: Final answer
    x = 11,667,091,136,896.36

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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.