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Finding the Third Proportional to 27,729,370 and 59,843,120

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Solution

The third proportional to 27,729,370 and 59,843,120 is: 129,148,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729,370 : 59,843,120 = 59,843,120 : x
  2. Step 2: Convert to fraction form
    27,729,370/59,843,120 = 59,843,120/x
  3. Step 3: Cross multiply
    27,729,370x = 59,843,120 × 59,843,120
  4. Step 4: Simplify right side
    27,729,370x = 3,581,199,011,334,400
  5. Step 5: Solve for x
    x = 3,581,199,011,334,400/27,729,370
  6. Step 6: Final answer
    x = 129,148,228.44

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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.