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Finding the Third Proportional to 67,257,027 and 144,829,215

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Solution

The third proportional to 67,257,027 and 144,829,215 is: 311,870,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257,027 : 144,829,215 = 144,829,215 : x
  2. Step 2: Convert to fraction form
    67,257,027/144,829,215 = 144,829,215/x
  3. Step 3: Cross multiply
    67,257,027x = 144,829,215 × 144,829,215
  4. Step 4: Simplify right side
    67,257,027x = 20,975,501,517,516,224
  5. Step 5: Solve for x
    x = 20,975,501,517,516,224/67,257,027
  6. Step 6: Final answer
    x = 311,870,780.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.