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Finding the Third Proportional to 38,498,523 and 85,604,715

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Solution

The third proportional to 38,498,523 and 85,604,715 is: 190,349,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498,523 : 85,604,715 = 85,604,715 : x
  2. Step 2: Convert to fraction form
    38,498,523/85,604,715 = 85,604,715/x
  3. Step 3: Cross multiply
    38,498,523x = 85,604,715 × 85,604,715
  4. Step 4: Simplify right side
    38,498,523x = 7,328,167,230,231,225
  5. Step 5: Solve for x
    x = 7,328,167,230,231,225/38,498,523
  6. Step 6: Final answer
    x = 190,349,308.47

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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.