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Finding the Third Proportional to 217,166,884 and 473,351,096

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Solution

The third proportional to 217,166,884 and 473,351,096 is: 1,031,746,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,166,884 : 473,351,096 = 473,351,096 : x
  2. Step 2: Convert to fraction form
    217,166,884/473,351,096 = 473,351,096/x
  3. Step 3: Cross multiply
    217,166,884x = 473,351,096 × 473,351,096
  4. Step 4: Simplify right side
    217,166,884x = 224,061,260,084,401,216
  5. Step 5: Solve for x
    x = 224,061,260,084,401,216/217,166,884
  6. Step 6: Final answer
    x = 1,031,746,903.38

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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.