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Finding the Third Proportional to 33,464,988 and 70,948,224

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Solution

The third proportional to 33,464,988 and 70,948,224 is: 150,415,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464,988 : 70,948,224 = 70,948,224 : x
  2. Step 2: Convert to fraction form
    33,464,988/70,948,224 = 70,948,224/x
  3. Step 3: Cross multiply
    33,464,988x = 70,948,224 × 70,948,224
  4. Step 4: Simplify right side
    33,464,988x = 5,033,650,488,754,176
  5. Step 5: Solve for x
    x = 5,033,650,488,754,176/33,464,988
  6. Step 6: Final answer
    x = 150,415,427.87

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