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Finding the Third Proportional to 424,887,174.90 and 914,344,451.23

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Solution

The third proportional to 424,887,174.90 and 914,344,451.23 is: 1,967,641,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,887,174.90 : 914,344,451.23 = 914,344,451.23 : x
  2. Step 2: Convert to fraction form
    424,887,174.90/914,344,451.23 = 914,344,451.23/x
  3. Step 3: Cross multiply
    424,887,174.90x = 914,344,451.23 × 914,344,451.23
  4. Step 4: Simplify right side
    424,887,174.90x = 836,025,775,488,817,408
  5. Step 5: Solve for x
    x = 836,025,775,488,817,408/424,887,174.90
  6. Step 6: Final answer
    x = 1,967,641,823.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.