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Finding the Third Proportional to 5,204,961 and 11,278,641

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Solution

The third proportional to 5,204,961 and 11,278,641 is: 24,439,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204,961 : 11,278,641 = 11,278,641 : x
  2. Step 2: Convert to fraction form
    5,204,961/11,278,641 = 11,278,641/x
  3. Step 3: Cross multiply
    5,204,961x = 11,278,641 × 11,278,641
  4. Step 4: Simplify right side
    5,204,961x = 127,207,742,806,881
  5. Step 5: Solve for x
    x = 127,207,742,806,881/5,204,961
  6. Step 6: Final answer
    x = 24,439,711.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.