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Finding the Third Proportional to 32,950,336.78 and 70,859,577.09

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Solution

The third proportional to 32,950,336.78 and 70,859,577.09 is: 152,383,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950,336.78 : 70,859,577.09 = 70,859,577.09 : x
  2. Step 2: Convert to fraction form
    32,950,336.78/70,859,577.09 = 70,859,577.09/x
  3. Step 3: Cross multiply
    32,950,336.78x = 70,859,577.09 × 70,859,577.09
  4. Step 4: Simplify right side
    32,950,336.78x = 5,021,079,665,905,100
  5. Step 5: Solve for x
    x = 5,021,079,665,905,100/32,950,336.78
  6. Step 6: Final answer
    x = 152,383,257.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.