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Finding the Third Proportional to 21,549,750 and 47,882,478

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Solution

The third proportional to 21,549,750 and 47,882,478 is: 106,392,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549,750 : 47,882,478 = 47,882,478 : x
  2. Step 2: Convert to fraction form
    21,549,750/47,882,478 = 47,882,478/x
  3. Step 3: Cross multiply
    21,549,750x = 47,882,478 × 47,882,478
  4. Step 4: Simplify right side
    21,549,750x = 2,292,731,699,420,484
  5. Step 5: Solve for x
    x = 2,292,731,699,420,484/21,549,750
  6. Step 6: Final answer
    x = 106,392,496.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.