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Finding the Third Proportional to 3,454,744,124 and 7,459,972,024

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Solution

The third proportional to 3,454,744,124 and 7,459,972,024 is: 16,108,626,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454,744,124 : 7,459,972,024 = 7,459,972,024 : x
  2. Step 2: Convert to fraction form
    3,454,744,124/7,459,972,024 = 7,459,972,024/x
  3. Step 3: Cross multiply
    3,454,744,124x = 7,459,972,024 × 7,459,972,024
  4. Step 4: Simplify right side
    3,454,744,124x = 55,651,182,598,862,659,584
  5. Step 5: Solve for x
    x = 55,651,182,598,862,659,584/3,454,744,124
  6. Step 6: Final answer
    x = 16,108,626,457.24

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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.