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Finding the Third Proportional to 40,052,540 and 82,228,382

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Solution

The third proportional to 40,052,540 and 82,228,382 is: 168,815,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,052,540 : 82,228,382 = 82,228,382 : x
  2. Step 2: Convert to fraction form
    40,052,540/82,228,382 = 82,228,382/x
  3. Step 3: Cross multiply
    40,052,540x = 82,228,382 × 82,228,382
  4. Step 4: Simplify right side
    40,052,540x = 6,761,506,806,337,924
  5. Step 5: Solve for x
    x = 6,761,506,806,337,924/40,052,540
  6. Step 6: Final answer
    x = 168,815,930.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.