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Finding the Third Proportional to 43,817,214 and 68,115,321

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Solution

The third proportional to 43,817,214 and 68,115,321 is: 105,887,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817,214 : 68,115,321 = 68,115,321 : x
  2. Step 2: Convert to fraction form
    43,817,214/68,115,321 = 68,115,321/x
  3. Step 3: Cross multiply
    43,817,214x = 68,115,321 × 68,115,321
  4. Step 4: Simplify right side
    43,817,214x = 4,639,696,954,933,041
  5. Step 5: Solve for x
    x = 4,639,696,954,933,041/43,817,214
  6. Step 6: Final answer
    x = 105,887,538.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.