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Finding the Third Proportional to 812,726,826 and 1,780,722,996

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Solution

The third proportional to 812,726,826 and 1,780,722,996 is: 3,901,648,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,726,826 : 1,780,722,996 = 1,780,722,996 : x
  2. Step 2: Convert to fraction form
    812,726,826/1,780,722,996 = 1,780,722,996/x
  3. Step 3: Cross multiply
    812,726,826x = 1,780,722,996 × 1,780,722,996
  4. Step 4: Simplify right side
    812,726,826x = 3,170,974,388,483,215,872
  5. Step 5: Solve for x
    x = 3,170,974,388,483,215,872/812,726,826
  6. Step 6: Final answer
    x = 3,901,648,483.89

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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.