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Finding the Third Proportional to 6,175,924 and 13,608,344

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Solution

The third proportional to 6,175,924 and 13,608,344 is: 29,985,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175,924 : 13,608,344 = 13,608,344 : x
  2. Step 2: Convert to fraction form
    6,175,924/13,608,344 = 13,608,344/x
  3. Step 3: Cross multiply
    6,175,924x = 13,608,344 × 13,608,344
  4. Step 4: Simplify right side
    6,175,924x = 185,187,026,422,336
  5. Step 5: Solve for x
    x = 185,187,026,422,336/6,175,924
  6. Step 6: Final answer
    x = 29,985,314.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.