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Finding the Third Proportional to 807,739,972 and 1,768,707,792

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Solution

The third proportional to 807,739,972 and 1,768,707,792 is: 3,872,938,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,739,972 : 1,768,707,792 = 1,768,707,792 : x
  2. Step 2: Convert to fraction form
    807,739,972/1,768,707,792 = 1,768,707,792/x
  3. Step 3: Cross multiply
    807,739,972x = 1,768,707,792 × 1,768,707,792
  4. Step 4: Simplify right side
    807,739,972x = 3,128,327,253,481,515,008
  5. Step 5: Solve for x
    x = 3,128,327,253,481,515,008/807,739,972
  6. Step 6: Final answer
    x = 3,872,938,522.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.