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Finding the Third Proportional to 12,407,964 and 27,265,230

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Solution

The third proportional to 12,407,964 and 27,265,230 is: 59,912,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407,964 : 27,265,230 = 27,265,230 : x
  2. Step 2: Convert to fraction form
    12,407,964/27,265,230 = 27,265,230/x
  3. Step 3: Cross multiply
    12,407,964x = 27,265,230 × 27,265,230
  4. Step 4: Simplify right side
    12,407,964x = 743,392,766,952,900
  5. Step 5: Solve for x
    x = 743,392,766,952,900/12,407,964
  6. Step 6: Final answer
    x = 59,912,550.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.