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Finding the Third Proportional to 475,100,795 and 993,640,264

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Solution

The third proportional to 475,100,795 and 993,640,264 is: 2,078,129,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,100,795 : 993,640,264 = 993,640,264 : x
  2. Step 2: Convert to fraction form
    475,100,795/993,640,264 = 993,640,264/x
  3. Step 3: Cross multiply
    475,100,795x = 993,640,264 × 993,640,264
  4. Step 4: Simplify right side
    475,100,795x = 987,320,974,241,989,632
  5. Step 5: Solve for x
    x = 987,320,974,241,989,632/475,100,795
  6. Step 6: Final answer
    x = 2,078,129,493.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.