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Finding the Third Proportional to 6,337,116 and 13,684,324

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Solution

The third proportional to 6,337,116 and 13,684,324 is: 29,549,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,116 : 13,684,324 = 13,684,324 : x
  2. Step 2: Convert to fraction form
    6,337,116/13,684,324 = 13,684,324/x
  3. Step 3: Cross multiply
    6,337,116x = 13,684,324 × 13,684,324
  4. Step 4: Simplify right side
    6,337,116x = 187,260,723,336,976
  5. Step 5: Solve for x
    x = 187,260,723,336,976/6,337,116
  6. Step 6: Final answer
    x = 29,549,833.61

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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.