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Finding the Third Proportional to 5,851,344 and 7,764,111

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Solution

The third proportional to 5,851,344 and 7,764,111 is: 10,302,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851,344 : 7,764,111 = 7,764,111 : x
  2. Step 2: Convert to fraction form
    5,851,344/7,764,111 = 7,764,111/x
  3. Step 3: Cross multiply
    5,851,344x = 7,764,111 × 7,764,111
  4. Step 4: Simplify right side
    5,851,344x = 60,281,419,620,321
  5. Step 5: Solve for x
    x = 60,281,419,620,321/5,851,344
  6. Step 6: Final answer
    x = 10,302,149.32

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Why These Related Problems?

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