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Finding the Third Proportional to 47,618,675 and 71,242,684

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Solution

The third proportional to 47,618,675 and 71,242,684 is: 106,586,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,618,675 : 71,242,684 = 71,242,684 : x
  2. Step 2: Convert to fraction form
    47,618,675/71,242,684 = 71,242,684/x
  3. Step 3: Cross multiply
    47,618,675x = 71,242,684 × 71,242,684
  4. Step 4: Simplify right side
    47,618,675x = 5,075,520,023,523,856
  5. Step 5: Solve for x
    x = 5,075,520,023,523,856/47,618,675
  6. Step 6: Final answer
    x = 106,586,754.54

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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.