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Finding the Third Proportional to 5,924,368 and 12,268,832

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Solution

The third proportional to 5,924,368 and 12,268,832 is: 25,407,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924,368 : 12,268,832 = 12,268,832 : x
  2. Step 2: Convert to fraction form
    5,924,368/12,268,832 = 12,268,832/x
  3. Step 3: Cross multiply
    5,924,368x = 12,268,832 × 12,268,832
  4. Step 4: Simplify right side
    5,924,368x = 150,524,238,644,224
  5. Step 5: Solve for x
    x = 150,524,238,644,224/5,924,368
  6. Step 6: Final answer
    x = 25,407,644.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.