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Finding the Third Proportional to 47,822,432 and 99,047,676

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Solution

The third proportional to 47,822,432 and 99,047,676 is: 205,143,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,822,432 : 99,047,676 = 99,047,676 : x
  2. Step 2: Convert to fraction form
    47,822,432/99,047,676 = 99,047,676/x
  3. Step 3: Cross multiply
    47,822,432x = 99,047,676 × 99,047,676
  4. Step 4: Simplify right side
    47,822,432x = 9,810,442,121,000,976
  5. Step 5: Solve for x
    x = 9,810,442,121,000,976/47,822,432
  6. Step 6: Final answer
    x = 205,143,103.58

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.