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Finding the Third Proportional to 32,326,780.50 and 50,190,246.75

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Solution

The third proportional to 32,326,780.50 and 50,190,246.75 is: 77,924,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,326,780.50 : 50,190,246.75 = 50,190,246.75 : x
  2. Step 2: Convert to fraction form
    32,326,780.50/50,190,246.75 = 50,190,246.75/x
  3. Step 3: Cross multiply
    32,326,780.50x = 50,190,246.75 × 50,190,246.75
  4. Step 4: Simplify right side
    32,326,780.50x = 2,519,060,868,825,885.50
  5. Step 5: Solve for x
    x = 2,519,060,868,825,885.50/32,326,780.50
  6. Step 6: Final answer
    x = 77,924,891.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.