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Finding the Third Proportional to 34,917,774.75 and 82,310,905.13

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Solution

The third proportional to 34,917,774.75 and 82,310,905.13 is: 194,029,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,917,774.75 : 82,310,905.13 = 82,310,905.13 : x
  2. Step 2: Convert to fraction form
    34,917,774.75/82,310,905.13 = 82,310,905.13/x
  3. Step 3: Cross multiply
    34,917,774.75x = 82,310,905.13 × 82,310,905.13
  4. Step 4: Simplify right side
    34,917,774.75x = 6,775,085,102,496,751
  5. Step 5: Solve for x
    x = 6,775,085,102,496,751/34,917,774.75
  6. Step 6: Final answer
    x = 194,029,692.64

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.