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Finding the Third Proportional to 6,267,052,324 and 9,481,181,366

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Solution

The third proportional to 6,267,052,324 and 9,481,181,366 is: 14,343,713,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267,052,324 : 9,481,181,366 = 9,481,181,366 : x
  2. Step 2: Convert to fraction form
    6,267,052,324/9,481,181,366 = 9,481,181,366/x
  3. Step 3: Cross multiply
    6,267,052,324x = 9,481,181,366 × 9,481,181,366
  4. Step 4: Simplify right side
    6,267,052,324x = 89,892,800,094,985,633,792
  5. Step 5: Solve for x
    x = 89,892,800,094,985,633,792/6,267,052,324
  6. Step 6: Final answer
    x = 14,343,713,032.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.