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Finding the Third Proportional to 179,847,464 and 424,413,188

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Solution

The third proportional to 179,847,464 and 424,413,188 is: 1,001,551,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,847,464 : 424,413,188 = 424,413,188 : x
  2. Step 2: Convert to fraction form
    179,847,464/424,413,188 = 424,413,188/x
  3. Step 3: Cross multiply
    179,847,464x = 424,413,188 × 424,413,188
  4. Step 4: Simplify right side
    179,847,464x = 180,126,554,148,323,328
  5. Step 5: Solve for x
    x = 180,126,554,148,323,328/179,847,464
  6. Step 6: Final answer
    x = 1,001,551,815.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.