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Finding the Third Proportional to 220,021,110 and 466,273,776.38

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Solution

The third proportional to 220,021,110 and 466,273,776.38 is: 988,138,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,021,110 : 466,273,776.38 = 466,273,776.38 : x
  2. Step 2: Convert to fraction form
    220,021,110/466,273,776.38 = 466,273,776.38/x
  3. Step 3: Cross multiply
    220,021,110x = 466,273,776.38 × 466,273,776.38
  4. Step 4: Simplify right side
    220,021,110x = 217,411,234,535,003,520
  5. Step 5: Solve for x
    x = 217,411,234,535,003,520/220,021,110
  6. Step 6: Final answer
    x = 988,138,067.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.