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Finding the Third Proportional to 33,581,949 and 71,199,516

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Solution

The third proportional to 33,581,949 and 71,199,516 is: 150,955,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,581,949 : 71,199,516 = 71,199,516 : x
  2. Step 2: Convert to fraction form
    33,581,949/71,199,516 = 71,199,516/x
  3. Step 3: Cross multiply
    33,581,949x = 71,199,516 × 71,199,516
  4. Step 4: Simplify right side
    33,581,949x = 5,069,371,078,634,256
  5. Step 5: Solve for x
    x = 5,069,371,078,634,256/33,581,949
  6. Step 6: Final answer
    x = 150,955,237.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.