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Finding the Third Proportional to 6,306,624 and 13,834,116

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Solution

The third proportional to 6,306,624 and 13,834,116 is: 30,346,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,624 : 13,834,116 = 13,834,116 : x
  2. Step 2: Convert to fraction form
    6,306,624/13,834,116 = 13,834,116/x
  3. Step 3: Cross multiply
    6,306,624x = 13,834,116 × 13,834,116
  4. Step 4: Simplify right side
    6,306,624x = 191,382,765,501,456
  5. Step 5: Solve for x
    x = 191,382,765,501,456/6,306,624
  6. Step 6: Final answer
    x = 30,346,309.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.