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Finding the Third Proportional to 48,476,608 and 103,671,680

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Solution

The third proportional to 48,476,608 and 103,671,680 is: 221,711,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,608 : 103,671,680 = 103,671,680 : x
  2. Step 2: Convert to fraction form
    48,476,608/103,671,680 = 103,671,680/x
  3. Step 3: Cross multiply
    48,476,608x = 103,671,680 × 103,671,680
  4. Step 4: Simplify right side
    48,476,608x = 10,747,817,234,022,400
  5. Step 5: Solve for x
    x = 10,747,817,234,022,400/48,476,608
  6. Step 6: Final answer
    x = 221,711,412.52

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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.