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Finding the Third Proportional to 3,185,541 and 6,878,218

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Solution

The third proportional to 3,185,541 and 6,878,218 is: 14,851,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,541 : 6,878,218 = 6,878,218 : x
  2. Step 2: Convert to fraction form
    3,185,541/6,878,218 = 6,878,218/x
  3. Step 3: Cross multiply
    3,185,541x = 6,878,218 × 6,878,218
  4. Step 4: Simplify right side
    3,185,541x = 47,309,882,855,524
  5. Step 5: Solve for x
    x = 47,309,882,855,524/3,185,541
  6. Step 6: Final answer
    x = 14,851,443.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.