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Finding the Third Proportional to 2,676,247.88 and 5,725,743.75

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Solution

The third proportional to 2,676,247.88 and 5,725,743.75 is: 12,250,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676,247.88 : 5,725,743.75 = 5,725,743.75 : x
  2. Step 2: Convert to fraction form
    2,676,247.88/5,725,743.75 = 5,725,743.75/x
  3. Step 3: Cross multiply
    2,676,247.88x = 5,725,743.75 × 5,725,743.75
  4. Step 4: Simplify right side
    2,676,247.88x = 32,784,141,490,664.06
  5. Step 5: Solve for x
    x = 32,784,141,490,664.06/2,676,247.88
  6. Step 6: Final answer
    x = 12,250,039.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.