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Finding the Third Proportional to 401,882,240.11 and 865,343,360.67

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Solution

The third proportional to 401,882,240.11 and 865,343,360.67 is: 1,863,279,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,882,240.11 : 865,343,360.67 = 865,343,360.67 : x
  2. Step 2: Convert to fraction form
    401,882,240.11/865,343,360.67 = 865,343,360.67/x
  3. Step 3: Cross multiply
    401,882,240.11x = 865,343,360.67 × 865,343,360.67
  4. Step 4: Simplify right side
    401,882,240.11x = 748,819,131,858,903,424
  5. Step 5: Solve for x
    x = 748,819,131,858,903,424/401,882,240.11
  6. Step 6: Final answer
    x = 1,863,279,978.87

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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.