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Finding the Third Proportional to 6,490,143 and 13,848,972

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Solution

The third proportional to 6,490,143 and 13,848,972 is: 29,551,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490,143 : 13,848,972 = 13,848,972 : x
  2. Step 2: Convert to fraction form
    6,490,143/13,848,972 = 13,848,972/x
  3. Step 3: Cross multiply
    6,490,143x = 13,848,972 × 13,848,972
  4. Step 4: Simplify right side
    6,490,143x = 191,794,025,456,784
  5. Step 5: Solve for x
    x = 191,794,025,456,784/6,490,143
  6. Step 6: Final answer
    x = 29,551,586.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.