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Finding the Third Proportional to 8,357,719 and 11,548,475

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Solution

The third proportional to 8,357,719 and 11,548,475 is: 15,957,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357,719 : 11,548,475 = 11,548,475 : x
  2. Step 2: Convert to fraction form
    8,357,719/11,548,475 = 11,548,475/x
  3. Step 3: Cross multiply
    8,357,719x = 11,548,475 × 11,548,475
  4. Step 4: Simplify right side
    8,357,719x = 133,367,274,825,625
  5. Step 5: Solve for x
    x = 133,367,274,825,625/8,357,719
  6. Step 6: Final answer
    x = 15,957,377.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.