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Finding the Third Proportional to 371,892,900 and 810,747,456

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Solution

The third proportional to 371,892,900 and 810,747,456 is: 1,767,475,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,892,900 : 810,747,456 = 810,747,456 : x
  2. Step 2: Convert to fraction form
    371,892,900/810,747,456 = 810,747,456/x
  3. Step 3: Cross multiply
    371,892,900x = 810,747,456 × 810,747,456
  4. Step 4: Simplify right side
    371,892,900x = 657,311,437,410,471,936
  5. Step 5: Solve for x
    x = 657,311,437,410,471,936/371,892,900
  6. Step 6: Final answer
    x = 1,767,475,091.38

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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.