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Finding the Third Proportional to 7,486,359 and 11,179,641

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Solution

The third proportional to 7,486,359 and 11,179,641 is: 16,694,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486,359 : 11,179,641 = 11,179,641 : x
  2. Step 2: Convert to fraction form
    7,486,359/11,179,641 = 11,179,641/x
  3. Step 3: Cross multiply
    7,486,359x = 11,179,641 × 11,179,641
  4. Step 4: Simplify right side
    7,486,359x = 124,984,372,888,881
  5. Step 5: Solve for x
    x = 124,984,372,888,881/7,486,359
  6. Step 6: Final answer
    x = 16,694,947.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.