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Finding the Third Proportional to 202,328,418 and 477,464,891

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Solution

The third proportional to 202,328,418 and 477,464,891 is: 1,126,745,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328,418 : 477,464,891 = 477,464,891 : x
  2. Step 2: Convert to fraction form
    202,328,418/477,464,891 = 477,464,891/x
  3. Step 3: Cross multiply
    202,328,418x = 477,464,891 × 477,464,891
  4. Step 4: Simplify right side
    202,328,418x = 227,972,722,137,641,888
  5. Step 5: Solve for x
    x = 227,972,722,137,641,888/202,328,418
  6. Step 6: Final answer
    x = 1,126,745,933.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.