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Finding the Third Proportional to 3,309,937,340 and 7,201,000,864

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Solution

The third proportional to 3,309,937,340 and 7,201,000,864 is: 15,666,282,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309,937,340 : 7,201,000,864 = 7,201,000,864 : x
  2. Step 2: Convert to fraction form
    3,309,937,340/7,201,000,864 = 7,201,000,864/x
  3. Step 3: Cross multiply
    3,309,937,340x = 7,201,000,864 × 7,201,000,864
  4. Step 4: Simplify right side
    3,309,937,340x = 51,854,413,443,328,745,472
  5. Step 5: Solve for x
    x = 51,854,413,443,328,745,472/3,309,937,340
  6. Step 6: Final answer
    x = 15,666,282,505.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.