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Finding the Third Proportional to 172,419,599 and 376,442,662

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Solution

The third proportional to 172,419,599 and 376,442,662 is: 821,884,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,419,599 : 376,442,662 = 376,442,662 : x
  2. Step 2: Convert to fraction form
    172,419,599/376,442,662 = 376,442,662/x
  3. Step 3: Cross multiply
    172,419,599x = 376,442,662 × 376,442,662
  4. Step 4: Simplify right side
    172,419,599x = 141,709,077,773,646,240
  5. Step 5: Solve for x
    x = 141,709,077,773,646,240/172,419,599
  6. Step 6: Final answer
    x = 821,884,974.77

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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.