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Finding the Third Proportional to 57,726,475 and 124,476,025

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Solution

The third proportional to 57,726,475 and 124,476,025 is: 268,408,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,726,475 : 124,476,025 = 124,476,025 : x
  2. Step 2: Convert to fraction form
    57,726,475/124,476,025 = 124,476,025/x
  3. Step 3: Cross multiply
    57,726,475x = 124,476,025 × 124,476,025
  4. Step 4: Simplify right side
    57,726,475x = 15,494,280,799,800,624
  5. Step 5: Solve for x
    x = 15,494,280,799,800,624/57,726,475
  6. Step 6: Final answer
    x = 268,408,573.36

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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.