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Finding the Third Proportional to 4,690,147 and 10,278,098

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Solution

The third proportional to 4,690,147 and 10,278,098 is: 22,523,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690,147 : 10,278,098 = 10,278,098 : x
  2. Step 2: Convert to fraction form
    4,690,147/10,278,098 = 10,278,098/x
  3. Step 3: Cross multiply
    4,690,147x = 10,278,098 × 10,278,098
  4. Step 4: Simplify right side
    4,690,147x = 105,639,298,497,604
  5. Step 5: Solve for x
    x = 105,639,298,497,604/4,690,147
  6. Step 6: Final answer
    x = 22,523,664.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.