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Finding the Third Proportional to 3,031,126 and 6,566,764

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Solution

The third proportional to 3,031,126 and 6,566,764 is: 14,226,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,126 : 6,566,764 = 6,566,764 : x
  2. Step 2: Convert to fraction form
    3,031,126/6,566,764 = 6,566,764/x
  3. Step 3: Cross multiply
    3,031,126x = 6,566,764 × 6,566,764
  4. Step 4: Simplify right side
    3,031,126x = 43,122,389,431,696
  5. Step 5: Solve for x
    x = 43,122,389,431,696/3,031,126
  6. Step 6: Final answer
    x = 14,226,524.87

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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.