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Finding the Third Proportional to 371,892,838 and 810,747,314

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Solution

The third proportional to 371,892,838 and 810,747,314 is: 1,767,474,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,892,838 : 810,747,314 = 810,747,314 : x
  2. Step 2: Convert to fraction form
    371,892,838/810,747,314 = 810,747,314/x
  3. Step 3: Cross multiply
    371,892,838x = 810,747,314 × 810,747,314
  4. Step 4: Simplify right side
    371,892,838x = 657,311,207,158,214,656
  5. Step 5: Solve for x
    x = 657,311,207,158,214,656/371,892,838
  6. Step 6: Final answer
    x = 1,767,474,766.91

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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.