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Finding the Third Proportional to 691,707,841,842.80 and 1,521,754,832,677.60

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Solution

The third proportional to 691,707,841,842.80 and 1,521,754,832,677.60 is: 3,347,855,309,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,707,841,842.80 : 1,521,754,832,677.60 = 1,521,754,832,677.60 : x
  2. Step 2: Convert to fraction form
    691,707,841,842.80/1,521,754,832,677.60 = 1,521,754,832,677.60/x
  3. Step 3: Cross multiply
    691,707,841,842.80x = 1,521,754,832,677.60 × 1,521,754,832,677.60
  4. Step 4: Simplify right side
    691,707,841,842.80x = 2,315,737,770,777,630,591,680,512
  5. Step 5: Solve for x
    x = 2,315,737,770,777,630,591,680,512/691,707,841,842.80
  6. Step 6: Final answer
    x = 3,347,855,309,270.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.