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Finding the Third Proportional to 6,346,486 and 13,702,916

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Solution

The third proportional to 6,346,486 and 13,702,916 is: 29,586,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,486 : 13,702,916 = 13,702,916 : x
  2. Step 2: Convert to fraction form
    6,346,486/13,702,916 = 13,702,916/x
  3. Step 3: Cross multiply
    6,346,486x = 13,702,916 × 13,702,916
  4. Step 4: Simplify right side
    6,346,486x = 187,769,906,903,056
  5. Step 5: Solve for x
    x = 187,769,906,903,056/6,346,486
  6. Step 6: Final answer
    x = 29,586,436.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.