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Finding the Third Proportional to 33,380,916 and 70,348,510

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Solution

The third proportional to 33,380,916 and 70,348,510 is: 148,255,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,380,916 : 70,348,510 = 70,348,510 : x
  2. Step 2: Convert to fraction form
    33,380,916/70,348,510 = 70,348,510/x
  3. Step 3: Cross multiply
    33,380,916x = 70,348,510 × 70,348,510
  4. Step 4: Simplify right side
    33,380,916x = 4,948,912,859,220,100
  5. Step 5: Solve for x
    x = 4,948,912,859,220,100/33,380,916
  6. Step 6: Final answer
    x = 148,255,753.65

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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.