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Finding the Third Proportional to 699,694,044.75 and 1,619,834,608.13

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Solution

The third proportional to 699,694,044.75 and 1,619,834,608.13 is: 3,750,016,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,694,044.75 : 1,619,834,608.13 = 1,619,834,608.13 : x
  2. Step 2: Convert to fraction form
    699,694,044.75/1,619,834,608.13 = 1,619,834,608.13/x
  3. Step 3: Cross multiply
    699,694,044.75x = 1,619,834,608.13 × 1,619,834,608.13
  4. Step 4: Simplify right side
    699,694,044.75x = 2,623,864,157,679,472,128
  5. Step 5: Solve for x
    x = 2,623,864,157,679,472,128/699,694,044.75
  6. Step 6: Final answer
    x = 3,750,016,421.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.