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Finding the Third Proportional to 23,471,569 and 35,904,369

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Solution

The third proportional to 23,471,569 and 35,904,369 is: 54,922,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471,569 : 35,904,369 = 35,904,369 : x
  2. Step 2: Convert to fraction form
    23,471,569/35,904,369 = 35,904,369/x
  3. Step 3: Cross multiply
    23,471,569x = 35,904,369 × 35,904,369
  4. Step 4: Simplify right side
    23,471,569x = 1,289,123,713,288,161
  5. Step 5: Solve for x
    x = 1,289,123,713,288,161/23,471,569
  6. Step 6: Final answer
    x = 54,922,775.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.