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Finding the Third Proportional to 949,687,270 and 2,092,585,600

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Solution

The third proportional to 949,687,270 and 2,092,585,600 is: 4,610,901,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,687,270 : 2,092,585,600 = 2,092,585,600 : x
  2. Step 2: Convert to fraction form
    949,687,270/2,092,585,600 = 2,092,585,600/x
  3. Step 3: Cross multiply
    949,687,270x = 2,092,585,600 × 2,092,585,600
  4. Step 4: Simplify right side
    949,687,270x = 4,378,914,493,327,360,000
  5. Step 5: Solve for x
    x = 4,378,914,493,327,360,000/949,687,270
  6. Step 6: Final answer
    x = 4,610,901,537.44

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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.