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Finding the Third Proportional to 47,047,177 and 101,302,922

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Solution

The third proportional to 47,047,177 and 101,302,922 is: 218,127,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,047,177 : 101,302,922 = 101,302,922 : x
  2. Step 2: Convert to fraction form
    47,047,177/101,302,922 = 101,302,922/x
  3. Step 3: Cross multiply
    47,047,177x = 101,302,922 × 101,302,922
  4. Step 4: Simplify right side
    47,047,177x = 10,262,282,005,738,084
  5. Step 5: Solve for x
    x = 10,262,282,005,738,084/47,047,177
  6. Step 6: Final answer
    x = 218,127,476.72

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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.