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Finding the Third Proportional to 1,040,508,564 and 2,136,177,612

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Solution

The third proportional to 1,040,508,564 and 2,136,177,612 is: 4,385,600,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,508,564 : 2,136,177,612 = 2,136,177,612 : x
  2. Step 2: Convert to fraction form
    1,040,508,564/2,136,177,612 = 2,136,177,612/x
  3. Step 3: Cross multiply
    1,040,508,564x = 2,136,177,612 × 2,136,177,612
  4. Step 4: Simplify right side
    1,040,508,564x = 4,563,254,790,010,022,400
  5. Step 5: Solve for x
    x = 4,563,254,790,010,022,400/1,040,508,564
  6. Step 6: Final answer
    x = 4,385,600,414.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.