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Finding the Third Proportional to 436,643,544 and 946,959,942

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Solution

The third proportional to 436,643,544 and 946,959,942 is: 2,053,696,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,643,544 : 946,959,942 = 946,959,942 : x
  2. Step 2: Convert to fraction form
    436,643,544/946,959,942 = 946,959,942/x
  3. Step 3: Cross multiply
    436,643,544x = 946,959,942 × 946,959,942
  4. Step 4: Simplify right side
    436,643,544x = 896,733,131,752,643,328
  5. Step 5: Solve for x
    x = 896,733,131,752,643,328/436,643,544
  6. Step 6: Final answer
    x = 2,053,696,073.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.