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Finding the Third Proportional to 812,726,832 and 1,780,723,004

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Solution

The third proportional to 812,726,832 and 1,780,723,004 is: 3,901,648,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,726,832 : 1,780,723,004 = 1,780,723,004 : x
  2. Step 2: Convert to fraction form
    812,726,832/1,780,723,004 = 1,780,723,004/x
  3. Step 3: Cross multiply
    812,726,832x = 1,780,723,004 × 1,780,723,004
  4. Step 4: Simplify right side
    812,726,832x = 3,170,974,416,974,784,000
  5. Step 5: Solve for x
    x = 3,170,974,416,974,784,000/812,726,832
  6. Step 6: Final answer
    x = 3,901,648,490.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.