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Finding the Third Proportional to 2,364,507.75 and 5,091,657

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Solution

The third proportional to 2,364,507.75 and 5,091,657 is: 10,964,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,507.75 : 5,091,657 = 5,091,657 : x
  2. Step 2: Convert to fraction form
    2,364,507.75/5,091,657 = 5,091,657/x
  3. Step 3: Cross multiply
    2,364,507.75x = 5,091,657 × 5,091,657
  4. Step 4: Simplify right side
    2,364,507.75x = 25,924,971,005,649
  5. Step 5: Solve for x
    x = 25,924,971,005,649/2,364,507.75
  6. Step 6: Final answer
    x = 10,964,214.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.