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Finding the Third Proportional to 17,307,126 and 37,829,142

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Solution

The third proportional to 17,307,126 and 37,829,142 is: 82,685,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307,126 : 37,829,142 = 37,829,142 : x
  2. Step 2: Convert to fraction form
    17,307,126/37,829,142 = 37,829,142/x
  3. Step 3: Cross multiply
    17,307,126x = 37,829,142 × 37,829,142
  4. Step 4: Simplify right side
    17,307,126x = 1,431,043,984,456,164
  5. Step 5: Solve for x
    x = 1,431,043,984,456,164/17,307,126
  6. Step 6: Final answer
    x = 82,685,246.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.