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Finding the Third Proportional to 47,236,768 and 101,718,176

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Solution

The third proportional to 47,236,768 and 101,718,176 is: 219,036,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,236,768 : 101,718,176 = 101,718,176 : x
  2. Step 2: Convert to fraction form
    47,236,768/101,718,176 = 101,718,176/x
  3. Step 3: Cross multiply
    47,236,768x = 101,718,176 × 101,718,176
  4. Step 4: Simplify right side
    47,236,768x = 10,346,587,328,766,976
  5. Step 5: Solve for x
    x = 10,346,587,328,766,976/47,236,768
  6. Step 6: Final answer
    x = 219,036,732.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.