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Finding the Third Proportional to 48,476,632 and 103,671,727

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Solution

The third proportional to 48,476,632 and 103,671,727 is: 221,711,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,632 : 103,671,727 = 103,671,727 : x
  2. Step 2: Convert to fraction form
    48,476,632/103,671,727 = 103,671,727/x
  3. Step 3: Cross multiply
    48,476,632x = 103,671,727 × 103,671,727
  4. Step 4: Simplify right side
    48,476,632x = 10,747,826,979,162,528
  5. Step 5: Solve for x
    x = 10,747,826,979,162,528/48,476,632
  6. Step 6: Final answer
    x = 221,711,503.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.