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Finding the Third Proportional to 2,910,096 and 6,348,816

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Solution

The third proportional to 2,910,096 and 6,348,816 is: 13,850,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910,096 : 6,348,816 = 6,348,816 : x
  2. Step 2: Convert to fraction form
    2,910,096/6,348,816 = 6,348,816/x
  3. Step 3: Cross multiply
    2,910,096x = 6,348,816 × 6,348,816
  4. Step 4: Simplify right side
    2,910,096x = 40,307,464,601,856
  5. Step 5: Solve for x
    x = 40,307,464,601,856/2,910,096
  6. Step 6: Final answer
    x = 13,850,905.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.