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Finding the Third Proportional to 845,165,924 and 1,167,859,569

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Solution

The third proportional to 845,165,924 and 1,167,859,569 is: 1,613,761,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,165,924 : 1,167,859,569 = 1,167,859,569 : x
  2. Step 2: Convert to fraction form
    845,165,924/1,167,859,569 = 1,167,859,569/x
  3. Step 3: Cross multiply
    845,165,924x = 1,167,859,569 × 1,167,859,569
  4. Step 4: Simplify right side
    845,165,924x = 1,363,895,972,904,865,792
  5. Step 5: Solve for x
    x = 1,363,895,972,904,865,792/845,165,924
  6. Step 6: Final answer
    x = 1,613,761,196.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.