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Finding the Third Proportional to 2,863,642 and 6,175,382

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Solution

The third proportional to 2,863,642 and 6,175,382 is: 13,317,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,642 : 6,175,382 = 6,175,382 : x
  2. Step 2: Convert to fraction form
    2,863,642/6,175,382 = 6,175,382/x
  3. Step 3: Cross multiply
    2,863,642x = 6,175,382 × 6,175,382
  4. Step 4: Simplify right side
    2,863,642x = 38,135,342,845,924
  5. Step 5: Solve for x
    x = 38,135,342,845,924/2,863,642
  6. Step 6: Final answer
    x = 13,317,077.64

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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.