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Finding the Third Proportional to 7,782,496 and 17,031,069

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Solution

The third proportional to 7,782,496 and 17,031,069 is: 37,270,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,496 : 17,031,069 = 17,031,069 : x
  2. Step 2: Convert to fraction form
    7,782,496/17,031,069 = 17,031,069/x
  3. Step 3: Cross multiply
    7,782,496x = 17,031,069 × 17,031,069
  4. Step 4: Simplify right side
    7,782,496x = 290,057,311,282,761
  5. Step 5: Solve for x
    x = 290,057,311,282,761/7,782,496
  6. Step 6: Final answer
    x = 37,270,473.55

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