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Finding the Third Proportional to 2,846,223.50 and 6,146,898.75

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Solution

The third proportional to 2,846,223.50 and 6,146,898.75 is: 13,275,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,223.50 : 6,146,898.75 = 6,146,898.75 : x
  2. Step 2: Convert to fraction form
    2,846,223.50/6,146,898.75 = 6,146,898.75/x
  3. Step 3: Cross multiply
    2,846,223.50x = 6,146,898.75 × 6,146,898.75
  4. Step 4: Simplify right side
    2,846,223.50x = 37,784,364,242,751.56
  5. Step 5: Solve for x
    x = 37,784,364,242,751.56/2,846,223.50
  6. Step 6: Final answer
    x = 13,275,262.55

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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.