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Finding the Third Proportional to 27,732,656 and 61,838,230

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Solution

The third proportional to 27,732,656 and 61,838,230 is: 137,886,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732,656 : 61,838,230 = 61,838,230 : x
  2. Step 2: Convert to fraction form
    27,732,656/61,838,230 = 61,838,230/x
  3. Step 3: Cross multiply
    27,732,656x = 61,838,230 × 61,838,230
  4. Step 4: Simplify right side
    27,732,656x = 3,823,966,689,532,900
  5. Step 5: Solve for x
    x = 3,823,966,689,532,900/27,732,656
  6. Step 6: Final answer
    x = 137,886,781.91

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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.