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Finding the Third Proportional to 10,319,641.50 and 24,098,103

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Solution

The third proportional to 10,319,641.50 and 24,098,103 is: 56,273,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319,641.50 : 24,098,103 = 24,098,103 : x
  2. Step 2: Convert to fraction form
    10,319,641.50/24,098,103 = 24,098,103/x
  3. Step 3: Cross multiply
    10,319,641.50x = 24,098,103 × 24,098,103
  4. Step 4: Simplify right side
    10,319,641.50x = 580,718,568,198,609
  5. Step 5: Solve for x
    x = 580,718,568,198,609/10,319,641.50
  6. Step 6: Final answer
    x = 56,273,133.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.