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Finding the Third Proportional to 12,140,847 and 26,012,448

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Solution

The third proportional to 12,140,847 and 26,012,448 is: 55,733,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140,847 : 26,012,448 = 26,012,448 : x
  2. Step 2: Convert to fraction form
    12,140,847/26,012,448 = 26,012,448/x
  3. Step 3: Cross multiply
    12,140,847x = 26,012,448 × 26,012,448
  4. Step 4: Simplify right side
    12,140,847x = 676,647,450,952,704
  5. Step 5: Solve for x
    x = 676,647,450,952,704/12,140,847
  6. Step 6: Final answer
    x = 55,733,133.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.