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Finding the Third Proportional to 702,247,230 and 1,543,500,180

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Solution

The third proportional to 702,247,230 and 1,543,500,180 is: 3,392,527,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,247,230 : 1,543,500,180 = 1,543,500,180 : x
  2. Step 2: Convert to fraction form
    702,247,230/1,543,500,180 = 1,543,500,180/x
  3. Step 3: Cross multiply
    702,247,230x = 1,543,500,180 × 1,543,500,180
  4. Step 4: Simplify right side
    702,247,230x = 2,382,392,805,660,032,512
  5. Step 5: Solve for x
    x = 2,382,392,805,660,032,512/702,247,230
  6. Step 6: Final answer
    x = 3,392,527,166.91

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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.