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Finding the Third Proportional to 2,725,862.63 and 5,734,253.25

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Solution

The third proportional to 2,725,862.63 and 5,734,253.25 is: 12,062,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,862.63 : 5,734,253.25 = 5,734,253.25 : x
  2. Step 2: Convert to fraction form
    2,725,862.63/5,734,253.25 = 5,734,253.25/x
  3. Step 3: Cross multiply
    2,725,862.63x = 5,734,253.25 × 5,734,253.25
  4. Step 4: Simplify right side
    2,725,862.63x = 32,881,660,335,135.56
  5. Step 5: Solve for x
    x = 32,881,660,335,135.56/2,725,862.63
  6. Step 6: Final answer
    x = 12,062,845.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.