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Finding the Third Proportional to 2,347,214.84 and 5,004,471.09

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Solution

The third proportional to 2,347,214.84 and 5,004,471.09 is: 10,669,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,214.84 : 5,004,471.09 = 5,004,471.09 : x
  2. Step 2: Convert to fraction form
    2,347,214.84/5,004,471.09 = 5,004,471.09/x
  3. Step 3: Cross multiply
    2,347,214.84x = 5,004,471.09 × 5,004,471.09
  4. Step 4: Simplify right side
    2,347,214.84x = 25,044,730,928,179.32
  5. Step 5: Solve for x
    x = 25,044,730,928,179.32/2,347,214.84
  6. Step 6: Final answer
    x = 10,669,978.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.