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Finding the Third Proportional to 32,257,950.75 and 47,782,234.13

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Solution

The third proportional to 32,257,950.75 and 47,782,234.13 is: 70,777,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257,950.75 : 47,782,234.13 = 47,782,234.13 : x
  2. Step 2: Convert to fraction form
    32,257,950.75/47,782,234.13 = 47,782,234.13/x
  3. Step 3: Cross multiply
    32,257,950.75x = 47,782,234.13 × 47,782,234.13
  4. Step 4: Simplify right side
    32,257,950.75x = 2,283,141,897,976,314.50
  5. Step 5: Solve for x
    x = 2,283,141,897,976,314.50/32,257,950.75
  6. Step 6: Final answer
    x = 70,777,648.45

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.