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Finding the Third Proportional to 41,436,141.75 and 65,001,078

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Solution

The third proportional to 41,436,141.75 and 65,001,078 is: 101,967,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,436,141.75 : 65,001,078 = 65,001,078 : x
  2. Step 2: Convert to fraction form
    41,436,141.75/65,001,078 = 65,001,078/x
  3. Step 3: Cross multiply
    41,436,141.75x = 65,001,078 × 65,001,078
  4. Step 4: Simplify right side
    41,436,141.75x = 4,225,140,141,162,084
  5. Step 5: Solve for x
    x = 4,225,140,141,162,084/41,436,141.75
  6. Step 6: Final answer
    x = 101,967,508.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.