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Finding the Third Proportional to 2,425,411 and 5,281,121

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Solution

The third proportional to 2,425,411 and 5,281,121 is: 11,499,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,411 : 5,281,121 = 5,281,121 : x
  2. Step 2: Convert to fraction form
    2,425,411/5,281,121 = 5,281,121/x
  3. Step 3: Cross multiply
    2,425,411x = 5,281,121 × 5,281,121
  4. Step 4: Simplify right side
    2,425,411x = 27,890,239,016,641
  5. Step 5: Solve for x
    x = 27,890,239,016,641/2,425,411
  6. Step 6: Final answer
    x = 11,499,180.56

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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.