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Finding the Third Proportional to 33,380,919 and 70,348,518

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Solution

The third proportional to 33,380,919 and 70,348,518 is: 148,255,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,380,919 : 70,348,518 = 70,348,518 : x
  2. Step 2: Convert to fraction form
    33,380,919/70,348,518 = 70,348,518/x
  3. Step 3: Cross multiply
    33,380,919x = 70,348,518 × 70,348,518
  4. Step 4: Simplify right side
    33,380,919x = 4,948,913,984,796,324
  5. Step 5: Solve for x
    x = 4,948,913,984,796,324/33,380,919
  6. Step 6: Final answer
    x = 148,255,774.05

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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.