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Finding the Third Proportional to 12,672,663,082.50 and 26,388,233,406

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Solution

The third proportional to 12,672,663,082.50 and 26,388,233,406 is: 54,948,108,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672,663,082.50 : 26,388,233,406 = 26,388,233,406 : x
  2. Step 2: Convert to fraction form
    12,672,663,082.50/26,388,233,406 = 26,388,233,406/x
  3. Step 3: Cross multiply
    12,672,663,082.50x = 26,388,233,406 × 26,388,233,406
  4. Step 4: Simplify right side
    12,672,663,082.50x = 696,338,862,289,534,320,640
  5. Step 5: Solve for x
    x = 696,338,862,289,534,320,640/12,672,663,082.50
  6. Step 6: Final answer
    x = 54,948,108,203.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.