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Finding the Third Proportional to 7,753,257 and 17,046,810

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Solution

The third proportional to 7,753,257 and 17,046,810 is: 37,480,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753,257 : 17,046,810 = 17,046,810 : x
  2. Step 2: Convert to fraction form
    7,753,257/17,046,810 = 17,046,810/x
  3. Step 3: Cross multiply
    7,753,257x = 17,046,810 × 17,046,810
  4. Step 4: Simplify right side
    7,753,257x = 290,593,731,176,100
  5. Step 5: Solve for x
    x = 290,593,731,176,100/7,753,257
  6. Step 6: Final answer
    x = 37,480,213.95

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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.