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Finding the Third Proportional to 3,272,314 and 7,642,779

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Solution

The third proportional to 3,272,314 and 7,642,779 is: 17,850,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272,314 : 7,642,779 = 7,642,779 : x
  2. Step 2: Convert to fraction form
    3,272,314/7,642,779 = 7,642,779/x
  3. Step 3: Cross multiply
    3,272,314x = 7,642,779 × 7,642,779
  4. Step 4: Simplify right side
    3,272,314x = 58,412,070,842,841
  5. Step 5: Solve for x
    x = 58,412,070,842,841/3,272,314
  6. Step 6: Final answer
    x = 17,850,386.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.