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Finding the Third Proportional to 7,851,904 and 17,253,759

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Solution

The third proportional to 7,851,904 and 17,253,759 is: 37,913,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851,904 : 17,253,759 = 17,253,759 : x
  2. Step 2: Convert to fraction form
    7,851,904/17,253,759 = 17,253,759/x
  3. Step 3: Cross multiply
    7,851,904x = 17,253,759 × 17,253,759
  4. Step 4: Simplify right side
    7,851,904x = 297,692,199,630,081
  5. Step 5: Solve for x
    x = 297,692,199,630,081/7,851,904
  6. Step 6: Final answer
    x = 37,913,377.40

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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.