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Finding the Third Proportional to 10,940,617.50 and 23,807,739

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Solution

The third proportional to 10,940,617.50 and 23,807,739 is: 51,807,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940,617.50 : 23,807,739 = 23,807,739 : x
  2. Step 2: Convert to fraction form
    10,940,617.50/23,807,739 = 23,807,739/x
  3. Step 3: Cross multiply
    10,940,617.50x = 23,807,739 × 23,807,739
  4. Step 4: Simplify right side
    10,940,617.50x = 566,808,436,292,121
  5. Step 5: Solve for x
    x = 566,808,436,292,121/10,940,617.50
  6. Step 6: Final answer
    x = 51,807,718.92

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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.