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Finding the Third Proportional to 8,101,428 and 17,593,755

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Solution

The third proportional to 8,101,428 and 17,593,755 is: 38,208,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101,428 : 17,593,755 = 17,593,755 : x
  2. Step 2: Convert to fraction form
    8,101,428/17,593,755 = 17,593,755/x
  3. Step 3: Cross multiply
    8,101,428x = 17,593,755 × 17,593,755
  4. Step 4: Simplify right side
    8,101,428x = 309,540,215,000,025
  5. Step 5: Solve for x
    x = 309,540,215,000,025/8,101,428
  6. Step 6: Final answer
    x = 38,208,105.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.