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Finding the Third Proportional to 33,212,772 and 71,884,278

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Solution

The third proportional to 33,212,772 and 71,884,278 is: 155,583,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212,772 : 71,884,278 = 71,884,278 : x
  2. Step 2: Convert to fraction form
    33,212,772/71,884,278 = 71,884,278/x
  3. Step 3: Cross multiply
    33,212,772x = 71,884,278 × 71,884,278
  4. Step 4: Simplify right side
    33,212,772x = 5,167,349,423,581,284
  5. Step 5: Solve for x
    x = 5,167,349,423,581,284/33,212,772
  6. Step 6: Final answer
    x = 155,583,202.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.