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Finding the Third Proportional to 33,380,914 and 70,348,509

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Solution

The third proportional to 33,380,914 and 70,348,509 is: 148,255,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,380,914 : 70,348,509 = 70,348,509 : x
  2. Step 2: Convert to fraction form
    33,380,914/70,348,509 = 70,348,509/x
  3. Step 3: Cross multiply
    33,380,914x = 70,348,509 × 70,348,509
  4. Step 4: Simplify right side
    33,380,914x = 4,948,912,718,523,081
  5. Step 5: Solve for x
    x = 4,948,912,718,523,081/33,380,914
  6. Step 6: Final answer
    x = 148,255,758.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.