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Finding the Third Proportional to 812,726,814 and 1,780,722,972

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Solution

The third proportional to 812,726,814 and 1,780,722,972 is: 3,901,648,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,726,814 : 1,780,722,972 = 1,780,722,972 : x
  2. Step 2: Convert to fraction form
    812,726,814/1,780,722,972 = 1,780,722,972/x
  3. Step 3: Cross multiply
    812,726,814x = 1,780,722,972 × 1,780,722,972
  4. Step 4: Simplify right side
    812,726,814x = 3,170,974,303,008,513,024
  5. Step 5: Solve for x
    x = 3,170,974,303,008,513,024/812,726,814
  6. Step 6: Final answer
    x = 3,901,648,436.33

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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.