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Finding the Third Proportional to 7,782,486.75 and 17,031,049.88

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Solution

The third proportional to 7,782,486.75 and 17,031,049.88 is: 37,270,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,486.75 : 17,031,049.88 = 17,031,049.88 : x
  2. Step 2: Convert to fraction form
    7,782,486.75/17,031,049.88 = 17,031,049.88/x
  3. Step 3: Cross multiply
    7,782,486.75x = 17,031,049.88 × 17,031,049.88
  4. Step 4: Simplify right side
    7,782,486.75x = 290,056,659,844,737.50
  5. Step 5: Solve for x
    x = 290,056,659,844,737.50/7,782,486.75
  6. Step 6: Final answer
    x = 37,270,434.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.