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Finding the Third Proportional to 27,732,684 and 61,838,292

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Solution

The third proportional to 27,732,684 and 61,838,292 is: 137,886,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732,684 : 61,838,292 = 61,838,292 : x
  2. Step 2: Convert to fraction form
    27,732,684/61,838,292 = 61,838,292/x
  3. Step 3: Cross multiply
    27,732,684x = 61,838,292 × 61,838,292
  4. Step 4: Simplify right side
    27,732,684x = 3,823,974,357,477,264
  5. Step 5: Solve for x
    x = 3,823,974,357,477,264/27,732,684
  6. Step 6: Final answer
    x = 137,886,919.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.