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Finding the Third Proportional to 27,732,720 and 61,838,352

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Solution

The third proportional to 27,732,720 and 61,838,352 is: 137,887,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732,720 : 61,838,352 = 61,838,352 : x
  2. Step 2: Convert to fraction form
    27,732,720/61,838,352 = 61,838,352/x
  3. Step 3: Cross multiply
    27,732,720x = 61,838,352 × 61,838,352
  4. Step 4: Simplify right side
    27,732,720x = 3,823,981,778,075,904
  5. Step 5: Solve for x
    x = 3,823,981,778,075,904/27,732,720
  6. Step 6: Final answer
    x = 137,887,007.77

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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.