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Finding the Third Proportional to 411,195,831,486 and 901,825,086,360

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Solution

The third proportional to 411,195,831,486 and 901,825,086,360 is: 1,977,861,700,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,195,831,486 : 901,825,086,360 = 901,825,086,360 : x
  2. Step 2: Convert to fraction form
    411,195,831,486/901,825,086,360 = 901,825,086,360/x
  3. Step 3: Cross multiply
    411,195,831,486x = 901,825,086,360 × 901,825,086,360
  4. Step 4: Simplify right side
    411,195,831,486x = 813,288,486,388,221,498,884,096
  5. Step 5: Solve for x
    x = 813,288,486,388,221,498,884,096/411,195,831,486
  6. Step 6: Final answer
    x = 1,977,861,700,224.73

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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.