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Finding the Third Proportional to 19,785,474 and 31,473,496.50

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Solution

The third proportional to 19,785,474 and 31,473,496.50 is: 50,066,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785,474 : 31,473,496.50 = 31,473,496.50 : x
  2. Step 2: Convert to fraction form
    19,785,474/31,473,496.50 = 31,473,496.50/x
  3. Step 3: Cross multiply
    19,785,474x = 31,473,496.50 × 31,473,496.50
  4. Step 4: Simplify right side
    19,785,474x = 990,580,981,935,512.25
  5. Step 5: Solve for x
    x = 990,580,981,935,512.25/19,785,474
  6. Step 6: Final answer
    x = 50,066,072.81

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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.