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Finding the Third Proportional to 36,523,946 and 80,352,591

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Solution

The third proportional to 36,523,946 and 80,352,591 is: 176,775,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,523,946 : 80,352,591 = 80,352,591 : x
  2. Step 2: Convert to fraction form
    36,523,946/80,352,591 = 80,352,591/x
  3. Step 3: Cross multiply
    36,523,946x = 80,352,591 × 80,352,591
  4. Step 4: Simplify right side
    36,523,946x = 6,456,538,880,413,281
  5. Step 5: Solve for x
    x = 6,456,538,880,413,281/36,523,946
  6. Step 6: Final answer
    x = 176,775,501.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.