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Finding the Third Proportional to 183,747,728 and 400,876,942

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Solution

The third proportional to 183,747,728 and 400,876,942 is: 874,581,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,747,728 : 400,876,942 = 400,876,942 : x
  2. Step 2: Convert to fraction form
    183,747,728/400,876,942 = 400,876,942/x
  3. Step 3: Cross multiply
    183,747,728x = 400,876,942 × 400,876,942
  4. Step 4: Simplify right side
    183,747,728x = 160,702,322,627,271,360
  5. Step 5: Solve for x
    x = 160,702,322,627,271,360/183,747,728
  6. Step 6: Final answer
    x = 874,581,277.15

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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.