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Finding the Third Proportional to 10,940,089.50 and 23,734,431

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Solution

The third proportional to 10,940,089.50 and 23,734,431 is: 51,491,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940,089.50 : 23,734,431 = 23,734,431 : x
  2. Step 2: Convert to fraction form
    10,940,089.50/23,734,431 = 23,734,431/x
  3. Step 3: Cross multiply
    10,940,089.50x = 23,734,431 × 23,734,431
  4. Step 4: Simplify right side
    10,940,089.50x = 563,323,214,893,761
  5. Step 5: Solve for x
    x = 563,323,214,893,761/10,940,089.50
  6. Step 6: Final answer
    x = 51,491,645.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.