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Finding the Third Proportional to 21,881,221.50 and 47,615,451

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Solution

The third proportional to 21,881,221.50 and 47,615,451 is: 103,615,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881,221.50 : 47,615,451 = 47,615,451 : x
  2. Step 2: Convert to fraction form
    21,881,221.50/47,615,451 = 47,615,451/x
  3. Step 3: Cross multiply
    21,881,221.50x = 47,615,451 × 47,615,451
  4. Step 4: Simplify right side
    21,881,221.50x = 2,267,231,173,933,401
  5. Step 5: Solve for x
    x = 2,267,231,173,933,401/21,881,221.50
  6. Step 6: Final answer
    x = 103,615,384.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.