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Finding the Third Proportional to 217,667,956 and 473,598,998

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Solution

The third proportional to 217,667,956 and 473,598,998 is: 1,030,450,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,667,956 : 473,598,998 = 473,598,998 : x
  2. Step 2: Convert to fraction form
    217,667,956/473,598,998 = 473,598,998/x
  3. Step 3: Cross multiply
    217,667,956x = 473,598,998 × 473,598,998
  4. Step 4: Simplify right side
    217,667,956x = 224,296,010,906,604,000
  5. Step 5: Solve for x
    x = 224,296,010,906,604,000/217,667,956
  6. Step 6: Final answer
    x = 1,030,450,301.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.