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Finding the Third Proportional to 3,643,640 and 5,445,381

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Solution

The third proportional to 3,643,640 and 5,445,381 is: 8,138,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,640 : 5,445,381 = 5,445,381 : x
  2. Step 2: Convert to fraction form
    3,643,640/5,445,381 = 5,445,381/x
  3. Step 3: Cross multiply
    3,643,640x = 5,445,381 × 5,445,381
  4. Step 4: Simplify right side
    3,643,640x = 29,652,174,235,161
  5. Step 5: Solve for x
    x = 29,652,174,235,161/3,643,640
  6. Step 6: Final answer
    x = 8,138,063.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.