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Finding the Third Proportional to 7,403,676 and 16,508,764

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Solution

The third proportional to 7,403,676 and 16,508,764 is: 36,811,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403,676 : 16,508,764 = 16,508,764 : x
  2. Step 2: Convert to fraction form
    7,403,676/16,508,764 = 16,508,764/x
  3. Step 3: Cross multiply
    7,403,676x = 16,508,764 × 16,508,764
  4. Step 4: Simplify right side
    7,403,676x = 272,539,288,807,696
  5. Step 5: Solve for x
    x = 272,539,288,807,696/7,403,676
  6. Step 6: Final answer
    x = 36,811,347.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.