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Finding the Third Proportional to 215,358,264 and 473,780,016

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Solution

The third proportional to 215,358,264 and 473,780,016 is: 1,042,298,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,358,264 : 473,780,016 = 473,780,016 : x
  2. Step 2: Convert to fraction form
    215,358,264/473,780,016 = 473,780,016/x
  3. Step 3: Cross multiply
    215,358,264x = 473,780,016 × 473,780,016
  4. Step 4: Simplify right side
    215,358,264x = 224,467,503,560,960,256
  5. Step 5: Solve for x
    x = 224,467,503,560,960,256/215,358,264
  6. Step 6: Final answer
    x = 1,042,298,072.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.