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Finding the Third Proportional to 6,817,864 and 14,581,321

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Solution

The third proportional to 6,817,864 and 14,581,321 is: 31,184,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817,864 : 14,581,321 = 14,581,321 : x
  2. Step 2: Convert to fraction form
    6,817,864/14,581,321 = 14,581,321/x
  3. Step 3: Cross multiply
    6,817,864x = 14,581,321 × 14,581,321
  4. Step 4: Simplify right side
    6,817,864x = 212,614,922,105,041
  5. Step 5: Solve for x
    x = 212,614,922,105,041/6,817,864
  6. Step 6: Final answer
    x = 31,184,975.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.