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Finding the Third Proportional to 47,147,159 and 70,896,198

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Solution

The third proportional to 47,147,159 and 70,896,198 is: 106,608,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,147,159 : 70,896,198 = 70,896,198 : x
  2. Step 2: Convert to fraction form
    47,147,159/70,896,198 = 70,896,198/x
  3. Step 3: Cross multiply
    47,147,159x = 70,896,198 × 70,896,198
  4. Step 4: Simplify right side
    47,147,159x = 5,026,270,890,855,204
  5. Step 5: Solve for x
    x = 5,026,270,890,855,204/47,147,159
  6. Step 6: Final answer
    x = 106,608,139.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.