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Finding the Third Proportional to 5,910,774 and 12,764,604

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Solution

The third proportional to 5,910,774 and 12,764,604 is: 27,565,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910,774 : 12,764,604 = 12,764,604 : x
  2. Step 2: Convert to fraction form
    5,910,774/12,764,604 = 12,764,604/x
  3. Step 3: Cross multiply
    5,910,774x = 12,764,604 × 12,764,604
  4. Step 4: Simplify right side
    5,910,774x = 162,935,115,276,816
  5. Step 5: Solve for x
    x = 162,935,115,276,816/5,910,774
  6. Step 6: Final answer
    x = 27,565,783.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.