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Finding the Third Proportional to 47,115,432 and 99,663,210

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Solution

The third proportional to 47,115,432 and 99,663,210 is: 210,817,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115,432 : 99,663,210 = 99,663,210 : x
  2. Step 2: Convert to fraction form
    47,115,432/99,663,210 = 99,663,210/x
  3. Step 3: Cross multiply
    47,115,432x = 99,663,210 × 99,663,210
  4. Step 4: Simplify right side
    47,115,432x = 9,932,755,427,504,100
  5. Step 5: Solve for x
    x = 9,932,755,427,504,100/47,115,432
  6. Step 6: Final answer
    x = 210,817,454.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.