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Finding the Third Proportional to 27,729,344 and 59,843,076

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Solution

The third proportional to 27,729,344 and 59,843,076 is: 129,148,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729,344 : 59,843,076 = 59,843,076 : x
  2. Step 2: Convert to fraction form
    27,729,344/59,843,076 = 59,843,076/x
  3. Step 3: Cross multiply
    27,729,344x = 59,843,076 × 59,843,076
  4. Step 4: Simplify right side
    27,729,344x = 3,581,193,745,141,776
  5. Step 5: Solve for x
    x = 3,581,193,745,141,776/27,729,344
  6. Step 6: Final answer
    x = 129,148,159.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.