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Finding the Third Proportional to 6,391,878 and 13,693,548

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Solution

The third proportional to 6,391,878 and 13,693,548 is: 29,336,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391,878 : 13,693,548 = 13,693,548 : x
  2. Step 2: Convert to fraction form
    6,391,878/13,693,548 = 13,693,548/x
  3. Step 3: Cross multiply
    6,391,878x = 13,693,548 × 13,693,548
  4. Step 4: Simplify right side
    6,391,878x = 187,513,256,828,304
  5. Step 5: Solve for x
    x = 187,513,256,828,304/6,391,878
  6. Step 6: Final answer
    x = 29,336,175.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.