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Finding the Third Proportional to 754,396,416 and 1,649,037,744

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Solution

The third proportional to 754,396,416 and 1,649,037,744 is: 3,604,637,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,396,416 : 1,649,037,744 = 1,649,037,744 : x
  2. Step 2: Convert to fraction form
    754,396,416/1,649,037,744 = 1,649,037,744/x
  3. Step 3: Cross multiply
    754,396,416x = 1,649,037,744 × 1,649,037,744
  4. Step 4: Simplify right side
    754,396,416x = 2,719,325,481,136,609,280
  5. Step 5: Solve for x
    x = 2,719,325,481,136,609,280/754,396,416
  6. Step 6: Final answer
    x = 3,604,637,327.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.