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Finding the Third Proportional to 12,862,768 and 20,474,952

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Solution

The third proportional to 12,862,768 and 20,474,952 is: 32,592,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862,768 : 20,474,952 = 20,474,952 : x
  2. Step 2: Convert to fraction form
    12,862,768/20,474,952 = 20,474,952/x
  3. Step 3: Cross multiply
    12,862,768x = 20,474,952 × 20,474,952
  4. Step 4: Simplify right side
    12,862,768x = 419,223,659,402,304
  5. Step 5: Solve for x
    x = 419,223,659,402,304/12,862,768
  6. Step 6: Final answer
    x = 32,592,025.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.