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Finding the Third Proportional to 47,765,758 and 71,573,630.75

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Solution

The third proportional to 47,765,758 and 71,573,630.75 is: 107,248,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765,758 : 71,573,630.75 = 71,573,630.75 : x
  2. Step 2: Convert to fraction form
    47,765,758/71,573,630.75 = 71,573,630.75/x
  3. Step 3: Cross multiply
    47,765,758x = 71,573,630.75 × 71,573,630.75
  4. Step 4: Simplify right side
    47,765,758x = 5,122,784,618,737,346
  5. Step 5: Solve for x
    x = 5,122,784,618,737,346/47,765,758
  6. Step 6: Final answer
    x = 107,248,054.53

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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.