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Finding the Third Proportional to 34,917,748.31 and 82,310,828.06

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Solution

The third proportional to 34,917,748.31 and 82,310,828.06 is: 194,029,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,917,748.31 : 82,310,828.06 = 82,310,828.06 : x
  2. Step 2: Convert to fraction form
    34,917,748.31/82,310,828.06 = 82,310,828.06/x
  3. Step 3: Cross multiply
    34,917,748.31x = 82,310,828.06 × 82,310,828.06
  4. Step 4: Simplify right side
    34,917,748.31x = 6,775,072,416,334,438
  5. Step 5: Solve for x
    x = 6,775,072,416,334,438/34,917,748.31
  6. Step 6: Final answer
    x = 194,029,476.23

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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.