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Finding the Third Proportional to 7,071,858 and 15,439,116

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Solution

The third proportional to 7,071,858 and 15,439,116 is: 33,706,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,858 : 15,439,116 = 15,439,116 : x
  2. Step 2: Convert to fraction form
    7,071,858/15,439,116 = 15,439,116/x
  3. Step 3: Cross multiply
    7,071,858x = 15,439,116 × 15,439,116
  4. Step 4: Simplify right side
    7,071,858x = 238,366,302,861,456
  5. Step 5: Solve for x
    x = 238,366,302,861,456/7,071,858
  6. Step 6: Final answer
    x = 33,706,319.17

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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.