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Finding the Third Proportional to 31,526,904 and 68,235,504

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Solution

The third proportional to 31,526,904 and 68,235,504 is: 147,686,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,526,904 : 68,235,504 = 68,235,504 : x
  2. Step 2: Convert to fraction form
    31,526,904/68,235,504 = 68,235,504/x
  3. Step 3: Cross multiply
    31,526,904x = 68,235,504 × 68,235,504
  4. Step 4: Simplify right side
    31,526,904x = 4,656,084,006,134,016
  5. Step 5: Solve for x
    x = 4,656,084,006,134,016/31,526,904
  6. Step 6: Final answer
    x = 147,686,052.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.