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Finding the Third Proportional to 33,156,938 and 71,352,724

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Solution

The third proportional to 33,156,938 and 71,352,724 is: 153,548,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156,938 : 71,352,724 = 71,352,724 : x
  2. Step 2: Convert to fraction form
    33,156,938/71,352,724 = 71,352,724/x
  3. Step 3: Cross multiply
    33,156,938x = 71,352,724 × 71,352,724
  4. Step 4: Simplify right side
    33,156,938x = 5,091,211,222,220,176
  5. Step 5: Solve for x
    x = 5,091,211,222,220,176/33,156,938
  6. Step 6: Final answer
    x = 153,548,895.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.