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Finding the Third Proportional to 689,591,984 and 1,532,238,864

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Solution

The third proportional to 689,591,984 and 1,532,238,864 is: 3,404,558,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,591,984 : 1,532,238,864 = 1,532,238,864 : x
  2. Step 2: Convert to fraction form
    689,591,984/1,532,238,864 = 1,532,238,864/x
  3. Step 3: Cross multiply
    689,591,984x = 1,532,238,864 × 1,532,238,864
  4. Step 4: Simplify right side
    689,591,984x = 2,347,755,936,352,010,240
  5. Step 5: Solve for x
    x = 2,347,755,936,352,010,240/689,591,984
  6. Step 6: Final answer
    x = 3,404,558,044.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.