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Finding the Third Proportional to 8,761,842 and 19,175,382

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Solution

The third proportional to 8,761,842 and 19,175,382 is: 41,965,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761,842 : 19,175,382 = 19,175,382 : x
  2. Step 2: Convert to fraction form
    8,761,842/19,175,382 = 19,175,382/x
  3. Step 3: Cross multiply
    8,761,842x = 19,175,382 × 19,175,382
  4. Step 4: Simplify right side
    8,761,842x = 367,695,274,845,924
  5. Step 5: Solve for x
    x = 367,695,274,845,924/8,761,842
  6. Step 6: Final answer
    x = 41,965,522.19

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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.