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Finding the Third Proportional to 47,760,928 and 72,041,016

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Solution

The third proportional to 47,760,928 and 72,041,016 is: 108,664,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,760,928 : 72,041,016 = 72,041,016 : x
  2. Step 2: Convert to fraction form
    47,760,928/72,041,016 = 72,041,016/x
  3. Step 3: Cross multiply
    47,760,928x = 72,041,016 × 72,041,016
  4. Step 4: Simplify right side
    47,760,928x = 5,189,907,986,312,256
  5. Step 5: Solve for x
    x = 5,189,907,986,312,256/47,760,928
  6. Step 6: Final answer
    x = 108,664,303.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.