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Finding the Third Proportional to 33,380,922 and 70,348,523

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Solution

The third proportional to 33,380,922 and 70,348,523 is: 148,255,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,380,922 : 70,348,523 = 70,348,523 : x
  2. Step 2: Convert to fraction form
    33,380,922/70,348,523 = 70,348,523/x
  3. Step 3: Cross multiply
    33,380,922x = 70,348,523 × 70,348,523
  4. Step 4: Simplify right side
    33,380,922x = 4,948,914,688,281,529
  5. Step 5: Solve for x
    x = 4,948,914,688,281,529/33,380,922
  6. Step 6: Final answer
    x = 148,255,781.80

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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.