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Finding the Third Proportional to 3,985,057.13 and 8,253,671.63

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Solution

The third proportional to 3,985,057.13 and 8,253,671.63 is: 17,094,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,057.13 : 8,253,671.63 = 8,253,671.63 : x
  2. Step 2: Convert to fraction form
    3,985,057.13/8,253,671.63 = 8,253,671.63/x
  3. Step 3: Cross multiply
    3,985,057.13x = 8,253,671.63 × 8,253,671.63
  4. Step 4: Simplify right side
    3,985,057.13x = 68,123,095,293,330.14
  5. Step 5: Solve for x
    x = 68,123,095,293,330.14/3,985,057.13
  6. Step 6: Final answer
    x = 17,094,634.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.