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Finding the Third Proportional to 5,851,342 and 7,764,108

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Solution

The third proportional to 5,851,342 and 7,764,108 is: 10,302,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851,342 : 7,764,108 = 7,764,108 : x
  2. Step 2: Convert to fraction form
    5,851,342/7,764,108 = 7,764,108/x
  3. Step 3: Cross multiply
    5,851,342x = 7,764,108 × 7,764,108
  4. Step 4: Simplify right side
    5,851,342x = 60,281,373,035,664
  5. Step 5: Solve for x
    x = 60,281,373,035,664/5,851,342
  6. Step 6: Final answer
    x = 10,302,144.88

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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.