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Finding the Third Proportional to 7,839,666 and 11,759,499

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Solution

The third proportional to 7,839,666 and 11,759,499 is: 17,639,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839,666 : 11,759,499 = 11,759,499 : x
  2. Step 2: Convert to fraction form
    7,839,666/11,759,499 = 11,759,499/x
  3. Step 3: Cross multiply
    7,839,666x = 11,759,499 × 11,759,499
  4. Step 4: Simplify right side
    7,839,666x = 138,285,816,731,001
  5. Step 5: Solve for x
    x = 138,285,816,731,001/7,839,666
  6. Step 6: Final answer
    x = 17,639,248.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.