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Finding the Third Proportional to 33,156,894 and 71,352,637

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Solution

The third proportional to 33,156,894 and 71,352,637 is: 153,548,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156,894 : 71,352,637 = 71,352,637 : x
  2. Step 2: Convert to fraction form
    33,156,894/71,352,637 = 71,352,637/x
  3. Step 3: Cross multiply
    33,156,894x = 71,352,637 × 71,352,637
  4. Step 4: Simplify right side
    33,156,894x = 5,091,198,806,853,769
  5. Step 5: Solve for x
    x = 5,091,198,806,853,769/33,156,894
  6. Step 6: Final answer
    x = 153,548,725.25

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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.