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Finding the Third Proportional to 217,667,963 and 473,598,990

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Solution

The third proportional to 217,667,963 and 473,598,990 is: 1,030,450,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,667,963 : 473,598,990 = 473,598,990 : x
  2. Step 2: Convert to fraction form
    217,667,963/473,598,990 = 473,598,990/x
  3. Step 3: Cross multiply
    217,667,963x = 473,598,990 × 473,598,990
  4. Step 4: Simplify right side
    217,667,963x = 224,296,003,329,020,096
  5. Step 5: Solve for x
    x = 224,296,003,329,020,096/217,667,963
  6. Step 6: Final answer
    x = 1,030,450,233.64

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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.