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Finding the Third Proportional to 7,612,218 and 16,412,751.56

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Solution

The third proportional to 7,612,218 and 16,412,751.56 is: 35,387,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,218 : 16,412,751.56 = 16,412,751.56 : x
  2. Step 2: Convert to fraction form
    7,612,218/16,412,751.56 = 16,412,751.56/x
  3. Step 3: Cross multiply
    7,612,218x = 16,412,751.56 × 16,412,751.56
  4. Step 4: Simplify right side
    7,612,218x = 269,378,413,852,346.19
  5. Step 5: Solve for x
    x = 269,378,413,852,346.19/7,612,218
  6. Step 6: Final answer
    x = 35,387,637.85

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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.