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Finding the Third Proportional to 171,447,747 and 376,191,738

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Solution

The third proportional to 171,447,747 and 376,191,738 is: 825,442,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,447,747 : 376,191,738 = 376,191,738 : x
  2. Step 2: Convert to fraction form
    171,447,747/376,191,738 = 376,191,738/x
  3. Step 3: Cross multiply
    171,447,747x = 376,191,738 × 376,191,738
  4. Step 4: Simplify right side
    171,447,747x = 141,520,223,739,460,640
  5. Step 5: Solve for x
    x = 141,520,223,739,460,640/171,447,747
  6. Step 6: Final answer
    x = 825,442,306.57

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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.