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Finding the Third Proportional to 7,572,098 and 16,421,782

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Solution

The third proportional to 7,572,098 and 16,421,782 is: 35,614,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572,098 : 16,421,782 = 16,421,782 : x
  2. Step 2: Convert to fraction form
    7,572,098/16,421,782 = 16,421,782/x
  3. Step 3: Cross multiply
    7,572,098x = 16,421,782 × 16,421,782
  4. Step 4: Simplify right side
    7,572,098x = 269,674,924,055,524
  5. Step 5: Solve for x
    x = 269,674,924,055,524/7,572,098
  6. Step 6: Final answer
    x = 35,614,293.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.