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Finding the Third Proportional to 949,687,269 and 2,092,585,598

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Solution

The third proportional to 949,687,269 and 2,092,585,598 is: 4,610,901,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,687,269 : 2,092,585,598 = 2,092,585,598 : x
  2. Step 2: Convert to fraction form
    949,687,269/2,092,585,598 = 2,092,585,598/x
  3. Step 3: Cross multiply
    949,687,269x = 2,092,585,598 × 2,092,585,598
  4. Step 4: Simplify right side
    949,687,269x = 4,378,914,484,957,017,600
  5. Step 5: Solve for x
    x = 4,378,914,484,957,017,600/949,687,269
  6. Step 6: Final answer
    x = 4,610,901,533.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.