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Finding the Third Proportional to 5,851,355.63 and 7,764,123.38

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Solution

The third proportional to 5,851,355.63 and 7,764,123.38 is: 10,302,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851,355.63 : 7,764,123.38 = 7,764,123.38 : x
  2. Step 2: Convert to fraction form
    5,851,355.63/7,764,123.38 = 7,764,123.38/x
  3. Step 3: Cross multiply
    5,851,355.63x = 7,764,123.38 × 7,764,123.38
  4. Step 4: Simplify right side
    5,851,355.63x = 60,281,611,782,221.39
  5. Step 5: Solve for x
    x = 60,281,611,782,221.39/5,851,355.63
  6. Step 6: Final answer
    x = 10,302,161.69

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.