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Finding the Third Proportional to 17,110,470 and 38,046,567

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Solution

The third proportional to 17,110,470 and 38,046,567 is: 84,599,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,110,470 : 38,046,567 = 38,046,567 : x
  2. Step 2: Convert to fraction form
    17,110,470/38,046,567 = 38,046,567/x
  3. Step 3: Cross multiply
    17,110,470x = 38,046,567 × 38,046,567
  4. Step 4: Simplify right side
    17,110,470x = 1,447,541,260,485,489
  5. Step 5: Solve for x
    x = 1,447,541,260,485,489/17,110,470
  6. Step 6: Final answer
    x = 84,599,736.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.