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Finding the Third Proportional to 47,024,847 and 71,246,682

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Solution

The third proportional to 47,024,847 and 71,246,682 is: 107,944,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,024,847 : 71,246,682 = 71,246,682 : x
  2. Step 2: Convert to fraction form
    47,024,847/71,246,682 = 71,246,682/x
  3. Step 3: Cross multiply
    47,024,847x = 71,246,682 × 71,246,682
  4. Step 4: Simplify right side
    47,024,847x = 5,076,089,696,009,124
  5. Step 5: Solve for x
    x = 5,076,089,696,009,124/47,024,847
  6. Step 6: Final answer
    x = 107,944,842.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.