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Finding the Third Proportional to 10,612,309,689 and 22,715,396,676

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Solution

The third proportional to 10,612,309,689 and 22,715,396,676 is: 48,621,766,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612,309,689 : 22,715,396,676 = 22,715,396,676 : x
  2. Step 2: Convert to fraction form
    10,612,309,689/22,715,396,676 = 22,715,396,676/x
  3. Step 3: Cross multiply
    10,612,309,689x = 22,715,396,676 × 22,715,396,676
  4. Step 4: Simplify right side
    10,612,309,689x = 515,989,246,148,031,873,024
  5. Step 5: Solve for x
    x = 515,989,246,148,031,873,024/10,612,309,689
  6. Step 6: Final answer
    x = 48,621,766,728.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.