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Finding the Third Proportional to 5,213,731 and 10,904,156

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Solution

The third proportional to 5,213,731 and 10,904,156 is: 22,805,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213,731 : 10,904,156 = 10,904,156 : x
  2. Step 2: Convert to fraction form
    5,213,731/10,904,156 = 10,904,156/x
  3. Step 3: Cross multiply
    5,213,731x = 10,904,156 × 10,904,156
  4. Step 4: Simplify right side
    5,213,731x = 118,900,618,072,336
  5. Step 5: Solve for x
    x = 118,900,618,072,336/5,213,731
  6. Step 6: Final answer
    x = 22,805,284.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.