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Finding the Third Proportional to 6,194,009 and 13,337,095

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Solution

The third proportional to 6,194,009 and 13,337,095 is: 28,717,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,009 : 13,337,095 = 13,337,095 : x
  2. Step 2: Convert to fraction form
    6,194,009/13,337,095 = 13,337,095/x
  3. Step 3: Cross multiply
    6,194,009x = 13,337,095 × 13,337,095
  4. Step 4: Simplify right side
    6,194,009x = 177,878,103,039,025
  5. Step 5: Solve for x
    x = 177,878,103,039,025/6,194,009
  6. Step 6: Final answer
    x = 28,717,766.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.