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Finding the Third Proportional to 7,874,456 and 11,260,448

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Solution

The third proportional to 7,874,456 and 11,260,448 is: 16,102,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,456 : 11,260,448 = 11,260,448 : x
  2. Step 2: Convert to fraction form
    7,874,456/11,260,448 = 11,260,448/x
  3. Step 3: Cross multiply
    7,874,456x = 11,260,448 × 11,260,448
  4. Step 4: Simplify right side
    7,874,456x = 126,797,689,160,704
  5. Step 5: Solve for x
    x = 126,797,689,160,704/7,874,456
  6. Step 6: Final answer
    x = 16,102,406.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.