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Finding the Third Proportional to 47,857,674 and 104,377,083

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Solution

The third proportional to 47,857,674 and 104,377,083 is: 227,645,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857,674 : 104,377,083 = 104,377,083 : x
  2. Step 2: Convert to fraction form
    47,857,674/104,377,083 = 104,377,083/x
  3. Step 3: Cross multiply
    47,857,674x = 104,377,083 × 104,377,083
  4. Step 4: Simplify right side
    47,857,674x = 10,894,575,455,588,888
  5. Step 5: Solve for x
    x = 10,894,575,455,588,888/47,857,674
  6. Step 6: Final answer
    x = 227,645,318.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.