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Finding the Third Proportional to 10,870,711.50 and 23,694,630

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Solution

The third proportional to 10,870,711.50 and 23,694,630 is: 51,646,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870,711.50 : 23,694,630 = 23,694,630 : x
  2. Step 2: Convert to fraction form
    10,870,711.50/23,694,630 = 23,694,630/x
  3. Step 3: Cross multiply
    10,870,711.50x = 23,694,630 × 23,694,630
  4. Step 4: Simplify right side
    10,870,711.50x = 561,435,490,836,900
  5. Step 5: Solve for x
    x = 561,435,490,836,900/10,870,711.50
  6. Step 6: Final answer
    x = 51,646,618.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.