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Finding the Third Proportional to 982,881,728 and 2,150,894,464

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Solution

The third proportional to 982,881,728 and 2,150,894,464 is: 4,706,921,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,881,728 : 2,150,894,464 = 2,150,894,464 : x
  2. Step 2: Convert to fraction form
    982,881,728/2,150,894,464 = 2,150,894,464/x
  3. Step 3: Cross multiply
    982,881,728x = 2,150,894,464 × 2,150,894,464
  4. Step 4: Simplify right side
    982,881,728x = 4,626,346,995,265,847,296
  5. Step 5: Solve for x
    x = 4,626,346,995,265,847,296/982,881,728
  6. Step 6: Final answer
    x = 4,706,921,355.31

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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.