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Finding the Third Proportional to 689,204,456 and 1,475,287,180

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Solution

The third proportional to 689,204,456 and 1,475,287,180 is: 3,157,948,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,204,456 : 1,475,287,180 = 1,475,287,180 : x
  2. Step 2: Convert to fraction form
    689,204,456/1,475,287,180 = 1,475,287,180/x
  3. Step 3: Cross multiply
    689,204,456x = 1,475,287,180 × 1,475,287,180
  4. Step 4: Simplify right side
    689,204,456x = 2,176,472,263,472,352,512
  5. Step 5: Solve for x
    x = 2,176,472,263,472,352,512/689,204,456
  6. Step 6: Final answer
    x = 3,157,948,623.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.