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Finding the Third Proportional to 51,990,508 and 80,462,496

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Solution

The third proportional to 51,990,508 and 80,462,496 is: 124,526,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,990,508 : 80,462,496 = 80,462,496 : x
  2. Step 2: Convert to fraction form
    51,990,508/80,462,496 = 80,462,496/x
  3. Step 3: Cross multiply
    51,990,508x = 80,462,496 × 80,462,496
  4. Step 4: Simplify right side
    51,990,508x = 6,474,213,262,550,016
  5. Step 5: Solve for x
    x = 6,474,213,262,550,016/51,990,508
  6. Step 6: Final answer
    x = 124,526,832.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.