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Finding the Third Proportional to 57,869,895 and 124,825,824

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Solution

The third proportional to 57,869,895 and 124,825,824 is: 269,250,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,869,895 : 124,825,824 = 124,825,824 : x
  2. Step 2: Convert to fraction form
    57,869,895/124,825,824 = 124,825,824/x
  3. Step 3: Cross multiply
    57,869,895x = 124,825,824 × 124,825,824
  4. Step 4: Simplify right side
    57,869,895x = 15,581,486,337,278,976
  5. Step 5: Solve for x
    x = 15,581,486,337,278,976/57,869,895
  6. Step 6: Final answer
    x = 269,250,295.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.