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Finding the Third Proportional to 4,690,147.50 and 10,278,099

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Solution

The third proportional to 4,690,147.50 and 10,278,099 is: 22,523,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690,147.50 : 10,278,099 = 10,278,099 : x
  2. Step 2: Convert to fraction form
    4,690,147.50/10,278,099 = 10,278,099/x
  3. Step 3: Cross multiply
    4,690,147.50x = 10,278,099 × 10,278,099
  4. Step 4: Simplify right side
    4,690,147.50x = 105,639,319,053,801
  5. Step 5: Solve for x
    x = 105,639,319,053,801/4,690,147.50
  6. Step 6: Final answer
    x = 22,523,666.70

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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.