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Finding the Third Proportional to 757,212,642 and 1,132,792,020

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Solution

The third proportional to 757,212,642 and 1,132,792,020 is: 1,694,659,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,212,642 : 1,132,792,020 = 1,132,792,020 : x
  2. Step 2: Convert to fraction form
    757,212,642/1,132,792,020 = 1,132,792,020/x
  3. Step 3: Cross multiply
    757,212,642x = 1,132,792,020 × 1,132,792,020
  4. Step 4: Simplify right side
    757,212,642x = 1,283,217,760,575,680,512
  5. Step 5: Solve for x
    x = 1,283,217,760,575,680,512/757,212,642
  6. Step 6: Final answer
    x = 1,694,659,715.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.