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Finding the Third Proportional to 2,006,000,694 and 3,039,337,809

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Solution

The third proportional to 2,006,000,694 and 3,039,337,809 is: 4,604,970,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,000,694 : 3,039,337,809 = 3,039,337,809 : x
  2. Step 2: Convert to fraction form
    2,006,000,694/3,039,337,809 = 3,039,337,809/x
  3. Step 3: Cross multiply
    2,006,000,694x = 3,039,337,809 × 3,039,337,809
  4. Step 4: Simplify right side
    2,006,000,694x = 9,237,574,317,216,919,552
  5. Step 5: Solve for x
    x = 9,237,574,317,216,919,552/2,006,000,694
  6. Step 6: Final answer
    x = 4,604,970,648.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.