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Finding the Third Proportional to 6,981,705 and 14,808,546

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Solution

The third proportional to 6,981,705 and 14,808,546 is: 31,409,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981,705 : 14,808,546 = 14,808,546 : x
  2. Step 2: Convert to fraction form
    6,981,705/14,808,546 = 14,808,546/x
  3. Step 3: Cross multiply
    6,981,705x = 14,808,546 × 14,808,546
  4. Step 4: Simplify right side
    6,981,705x = 219,293,034,634,116
  5. Step 5: Solve for x
    x = 219,293,034,634,116/6,981,705
  6. Step 6: Final answer
    x = 31,409,667.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.