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Finding the Third Proportional to 14,836,719 and 31,633,206

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Solution

The third proportional to 14,836,719 and 31,633,206 is: 67,444,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836,719 : 31,633,206 = 31,633,206 : x
  2. Step 2: Convert to fraction form
    14,836,719/31,633,206 = 31,633,206/x
  3. Step 3: Cross multiply
    14,836,719x = 31,633,206 × 31,633,206
  4. Step 4: Simplify right side
    14,836,719x = 1,000,659,721,838,436
  5. Step 5: Solve for x
    x = 1,000,659,721,838,436/14,836,719
  6. Step 6: Final answer
    x = 67,444,811.88

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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.