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Finding the Third Proportional to 162,796,890 and 349,226,406

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Solution

The third proportional to 162,796,890 and 349,226,406 is: 749,148,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,796,890 : 349,226,406 = 349,226,406 : x
  2. Step 2: Convert to fraction form
    162,796,890/349,226,406 = 349,226,406/x
  3. Step 3: Cross multiply
    162,796,890x = 349,226,406 × 349,226,406
  4. Step 4: Simplify right side
    162,796,890x = 121,959,082,647,676,832
  5. Step 5: Solve for x
    x = 121,959,082,647,676,832/162,796,890
  6. Step 6: Final answer
    x = 749,148,725.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.