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Finding the Third Proportional to 41,728,881.38 and 89,628,018.75

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Solution

The third proportional to 41,728,881.38 and 89,628,018.75 is: 192,508,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728,881.38 : 89,628,018.75 = 89,628,018.75 : x
  2. Step 2: Convert to fraction form
    41,728,881.38/89,628,018.75 = 89,628,018.75/x
  3. Step 3: Cross multiply
    41,728,881.38x = 89,628,018.75 × 89,628,018.75
  4. Step 4: Simplify right side
    41,728,881.38x = 8,033,181,745,050,352
  5. Step 5: Solve for x
    x = 8,033,181,745,050,352/41,728,881.38
  6. Step 6: Final answer
    x = 192,508,916.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.