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Finding the Third Proportional to 691,707,841,842.85 and 1,521,754,832,677.80

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Solution

The third proportional to 691,707,841,842.85 and 1,521,754,832,677.80 is: 3,347,855,309,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,707,841,842.85 : 1,521,754,832,677.80 = 1,521,754,832,677.80 : x
  2. Step 2: Convert to fraction form
    691,707,841,842.85/1,521,754,832,677.80 = 1,521,754,832,677.80/x
  3. Step 3: Cross multiply
    691,707,841,842.85x = 1,521,754,832,677.80 × 1,521,754,832,677.80
  4. Step 4: Simplify right side
    691,707,841,842.85x = 2,315,737,770,778,239,134,859,264
  5. Step 5: Solve for x
    x = 2,315,737,770,778,239,134,859,264/691,707,841,842.85
  6. Step 6: Final answer
    x = 3,347,855,309,271.39

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Why These Related Problems?

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