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Finding the Third Proportional to 2,384,505 and 5,164,856.63

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Solution

The third proportional to 2,384,505 and 5,164,856.63 is: 11,187,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,505 : 5,164,856.63 = 5,164,856.63 : x
  2. Step 2: Convert to fraction form
    2,384,505/5,164,856.63 = 5,164,856.63/x
  3. Step 3: Cross multiply
    2,384,505x = 5,164,856.63 × 5,164,856.63
  4. Step 4: Simplify right side
    2,384,505x = 26,675,743,956,806.39
  5. Step 5: Solve for x
    x = 26,675,743,956,806.39/2,384,505
  6. Step 6: Final answer
    x = 11,187,120.16

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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.