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Finding the Third Proportional to 3,454,744,122 and 7,459,972,020

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Solution

The third proportional to 3,454,744,122 and 7,459,972,020 is: 16,108,626,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454,744,122 : 7,459,972,020 = 7,459,972,020 : x
  2. Step 2: Convert to fraction form
    3,454,744,122/7,459,972,020 = 7,459,972,020/x
  3. Step 3: Cross multiply
    3,454,744,122x = 7,459,972,020 × 7,459,972,020
  4. Step 4: Simplify right side
    3,454,744,122x = 55,651,182,539,182,882,816
  5. Step 5: Solve for x
    x = 55,651,182,539,182,882,816/3,454,744,122
  6. Step 6: Final answer
    x = 16,108,626,449.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.