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Finding the Third Proportional to 123,465,406 and 263,328,452

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Solution

The third proportional to 123,465,406 and 263,328,452 is: 561,629,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,465,406 : 263,328,452 = 263,328,452 : x
  2. Step 2: Convert to fraction form
    123,465,406/263,328,452 = 263,328,452/x
  3. Step 3: Cross multiply
    123,465,406x = 263,328,452 × 263,328,452
  4. Step 4: Simplify right side
    123,465,406x = 69,341,873,632,716,304
  5. Step 5: Solve for x
    x = 69,341,873,632,716,304/123,465,406
  6. Step 6: Final answer
    x = 561,629,981.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.