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Finding the Third Proportional to 32,824,216.50 and 75,982,218.75

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Solution

The third proportional to 32,824,216.50 and 75,982,218.75 is: 175,885,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824,216.50 : 75,982,218.75 = 75,982,218.75 : x
  2. Step 2: Convert to fraction form
    32,824,216.50/75,982,218.75 = 75,982,218.75/x
  3. Step 3: Cross multiply
    32,824,216.50x = 75,982,218.75 × 75,982,218.75
  4. Step 4: Simplify right side
    32,824,216.50x = 5,773,297,566,172,852
  5. Step 5: Solve for x
    x = 5,773,297,566,172,852/32,824,216.50
  6. Step 6: Final answer
    x = 175,885,312.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.