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Finding the Third Proportional to 3,175,770 and 6,761,196

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Solution

The third proportional to 3,175,770 and 6,761,196 is: 14,394,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,770 : 6,761,196 = 6,761,196 : x
  2. Step 2: Convert to fraction form
    3,175,770/6,761,196 = 6,761,196/x
  3. Step 3: Cross multiply
    3,175,770x = 6,761,196 × 6,761,196
  4. Step 4: Simplify right side
    3,175,770x = 45,713,771,350,416
  5. Step 5: Solve for x
    x = 45,713,771,350,416/3,175,770
  6. Step 6: Final answer
    x = 14,394,547.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.