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Finding the Third Proportional to 29,436,955,365 and 64,201,689,780

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Solution

The third proportional to 29,436,955,365 and 64,201,689,780 is: 140,023,209,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,436,955,365 : 64,201,689,780 = 64,201,689,780 : x
  2. Step 2: Convert to fraction form
    29,436,955,365/64,201,689,780 = 64,201,689,780/x
  3. Step 3: Cross multiply
    29,436,955,365x = 64,201,689,780 × 64,201,689,780
  4. Step 4: Simplify right side
    29,436,955,365x = 4,121,856,970,607,356,280,832
  5. Step 5: Solve for x
    x = 4,121,856,970,607,356,280,832/29,436,955,365
  6. Step 6: Final answer
    x = 140,023,209,584.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.