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Finding the Third Proportional to 6,096,102 and 13,109,772

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Solution

The third proportional to 6,096,102 and 13,109,772 is: 28,192,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096,102 : 13,109,772 = 13,109,772 : x
  2. Step 2: Convert to fraction form
    6,096,102/13,109,772 = 13,109,772/x
  3. Step 3: Cross multiply
    6,096,102x = 13,109,772 × 13,109,772
  4. Step 4: Simplify right side
    6,096,102x = 171,866,121,891,984
  5. Step 5: Solve for x
    x = 171,866,121,891,984/6,096,102
  6. Step 6: Final answer
    x = 28,192,789.74

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