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Finding the Third Proportional to 2,378,043.42 and 5,092,389.14

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Solution

The third proportional to 2,378,043.42 and 5,092,389.14 is: 10,904,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,043.42 : 5,092,389.14 = 5,092,389.14 : x
  2. Step 2: Convert to fraction form
    2,378,043.42/5,092,389.14 = 5,092,389.14/x
  3. Step 3: Cross multiply
    2,378,043.42x = 5,092,389.14 × 5,092,389.14
  4. Step 4: Simplify right side
    2,378,043.42x = 25,932,427,159,555.43
  5. Step 5: Solve for x
    x = 25,932,427,159,555.43/2,378,043.42
  6. Step 6: Final answer
    x = 10,904,942.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.