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Finding the Third Proportional to 19,657,785 and 30,770,071

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Solution

The third proportional to 19,657,785 and 30,770,071 is: 48,163,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657,785 : 30,770,071 = 30,770,071 : x
  2. Step 2: Convert to fraction form
    19,657,785/30,770,071 = 30,770,071/x
  3. Step 3: Cross multiply
    19,657,785x = 30,770,071 × 30,770,071
  4. Step 4: Simplify right side
    19,657,785x = 946,797,269,345,041
  5. Step 5: Solve for x
    x = 946,797,269,345,041/19,657,785
  6. Step 6: Final answer
    x = 48,163,985.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.