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Finding the Third Proportional to 172,810,912 and 377,901,620

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Solution

The third proportional to 172,810,912 and 377,901,620 is: 826,392,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,810,912 : 377,901,620 = 377,901,620 : x
  2. Step 2: Convert to fraction form
    172,810,912/377,901,620 = 377,901,620/x
  3. Step 3: Cross multiply
    172,810,912x = 377,901,620 × 377,901,620
  4. Step 4: Simplify right side
    172,810,912x = 142,809,634,398,624,400
  5. Step 5: Solve for x
    x = 142,809,634,398,624,400/172,810,912
  6. Step 6: Final answer
    x = 826,392,458.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.