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Finding the Third Proportional to 7,889,769 and 10,691,580

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Solution

The third proportional to 7,889,769 and 10,691,580 is: 14,488,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889,769 : 10,691,580 = 10,691,580 : x
  2. Step 2: Convert to fraction form
    7,889,769/10,691,580 = 10,691,580/x
  3. Step 3: Cross multiply
    7,889,769x = 10,691,580 × 10,691,580
  4. Step 4: Simplify right side
    7,889,769x = 114,309,882,896,400
  5. Step 5: Solve for x
    x = 114,309,882,896,400/7,889,769
  6. Step 6: Final answer
    x = 14,488,368.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.