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Finding the Third Proportional to 7,659,952 and 11,649,084

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Solution

The third proportional to 7,659,952 and 11,649,084 is: 17,715,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659,952 : 11,649,084 = 11,649,084 : x
  2. Step 2: Convert to fraction form
    7,659,952/11,649,084 = 11,649,084/x
  3. Step 3: Cross multiply
    7,659,952x = 11,649,084 × 11,649,084
  4. Step 4: Simplify right side
    7,659,952x = 135,701,158,039,056
  5. Step 5: Solve for x
    x = 135,701,158,039,056/7,659,952
  6. Step 6: Final answer
    x = 17,715,666.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.