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Finding the Third Proportional to 2,389,150.69 and 5,158,657.13

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Solution

The third proportional to 2,389,150.69 and 5,158,657.13 is: 11,138,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,150.69 : 5,158,657.13 = 5,158,657.13 : x
  2. Step 2: Convert to fraction form
    2,389,150.69/5,158,657.13 = 5,158,657.13/x
  3. Step 3: Cross multiply
    2,389,150.69x = 5,158,657.13 × 5,158,657.13
  4. Step 4: Simplify right side
    2,389,150.69x = 26,611,743,333,313.27
  5. Step 5: Solve for x
    x = 26,611,743,333,313.27/2,389,150.69
  6. Step 6: Final answer
    x = 11,138,578.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.