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Finding the Third Proportional to 1,399,291,466 and 3,062,178,772

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Solution

The third proportional to 1,399,291,466 and 3,062,178,772 is: 6,701,204,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,291,466 : 3,062,178,772 = 3,062,178,772 : x
  2. Step 2: Convert to fraction form
    1,399,291,466/3,062,178,772 = 3,062,178,772/x
  3. Step 3: Cross multiply
    1,399,291,466x = 3,062,178,772 × 3,062,178,772
  4. Step 4: Simplify right side
    1,399,291,466x = 9,376,938,831,687,428,096
  5. Step 5: Solve for x
    x = 9,376,938,831,687,428,096/1,399,291,466
  6. Step 6: Final answer
    x = 6,701,204,902.29

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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.