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Finding the Third Proportional to 14,836,304.75 and 31,632,283

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Solution

The third proportional to 14,836,304.75 and 31,632,283 is: 67,442,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836,304.75 : 31,632,283 = 31,632,283 : x
  2. Step 2: Convert to fraction form
    14,836,304.75/31,632,283 = 31,632,283/x
  3. Step 3: Cross multiply
    14,836,304.75x = 31,632,283 × 31,632,283
  4. Step 4: Simplify right side
    14,836,304.75x = 1,000,601,327,792,089
  5. Step 5: Solve for x
    x = 1,000,601,327,792,089/14,836,304.75
  6. Step 6: Final answer
    x = 67,442,759.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.