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Finding the Third Proportional to 33,212,774 and 71,884,282

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Solution

The third proportional to 33,212,774 and 71,884,282 is: 155,583,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212,774 : 71,884,282 = 71,884,282 : x
  2. Step 2: Convert to fraction form
    33,212,774/71,884,282 = 71,884,282/x
  3. Step 3: Cross multiply
    33,212,774x = 71,884,282 × 71,884,282
  4. Step 4: Simplify right side
    33,212,774x = 5,167,349,998,655,524
  5. Step 5: Solve for x
    x = 5,167,349,998,655,524/33,212,774
  6. Step 6: Final answer
    x = 155,583,210.20

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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.