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Finding the Third Proportional to 22,156,024.50 and 35,598,565.13

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Solution

The third proportional to 22,156,024.50 and 35,598,565.13 is: 57,196,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156,024.50 : 35,598,565.13 = 35,598,565.13 : x
  2. Step 2: Convert to fraction form
    22,156,024.50/35,598,565.13 = 35,598,565.13/x
  3. Step 3: Cross multiply
    22,156,024.50x = 35,598,565.13 × 35,598,565.13
  4. Step 4: Simplify right side
    22,156,024.50x = 1,267,257,838,958,866.25
  5. Step 5: Solve for x
    x = 1,267,257,838,958,866.25/22,156,024.50
  6. Step 6: Final answer
    x = 57,196,986.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.