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Finding the Third Proportional to 47,105,155 and 71,105,573

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Solution

The third proportional to 47,105,155 and 71,105,573 is: 107,334,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,105,155 : 71,105,573 = 71,105,573 : x
  2. Step 2: Convert to fraction form
    47,105,155/71,105,573 = 71,105,573/x
  3. Step 3: Cross multiply
    47,105,155x = 71,105,573 × 71,105,573
  4. Step 4: Simplify right side
    47,105,155x = 5,056,002,511,658,329
  5. Step 5: Solve for x
    x = 5,056,002,511,658,329/47,105,155
  6. Step 6: Final answer
    x = 107,334,377.98

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