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Finding the Third Proportional to 64,841,767 and 138,950,536

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Solution

The third proportional to 64,841,767 and 138,950,536 is: 297,759,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,841,767 : 138,950,536 = 138,950,536 : x
  2. Step 2: Convert to fraction form
    64,841,767/138,950,536 = 138,950,536/x
  3. Step 3: Cross multiply
    64,841,767x = 138,950,536 × 138,950,536
  4. Step 4: Simplify right side
    64,841,767x = 19,307,251,454,687,296
  5. Step 5: Solve for x
    x = 19,307,251,454,687,296/64,841,767
  6. Step 6: Final answer
    x = 297,759,489.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.