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Finding the Third Proportional to 1,132,869,162 and 1,749,613,512

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Solution

The third proportional to 1,132,869,162 and 1,749,613,512 is: 2,702,119,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132,869,162 : 1,749,613,512 = 1,749,613,512 : x
  2. Step 2: Convert to fraction form
    1,132,869,162/1,749,613,512 = 1,749,613,512/x
  3. Step 3: Cross multiply
    1,132,869,162x = 1,749,613,512 × 1,749,613,512
  4. Step 4: Simplify right side
    1,132,869,162x = 3,061,147,441,372,974,080
  5. Step 5: Solve for x
    x = 3,061,147,441,372,974,080/1,132,869,162
  6. Step 6: Final answer
    x = 2,702,119,136.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.