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Finding the Third Proportional to 2,814,950 and 6,072,268

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Solution

The third proportional to 2,814,950 and 6,072,268 is: 13,098,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,950 : 6,072,268 = 6,072,268 : x
  2. Step 2: Convert to fraction form
    2,814,950/6,072,268 = 6,072,268/x
  3. Step 3: Cross multiply
    2,814,950x = 6,072,268 × 6,072,268
  4. Step 4: Simplify right side
    2,814,950x = 36,872,438,663,824
  5. Step 5: Solve for x
    x = 36,872,438,663,824/2,814,950
  6. Step 6: Final answer
    x = 13,098,789.91

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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.