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Finding the Third Proportional to 3,188,324 and 6,897,640

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Solution

The third proportional to 3,188,324 and 6,897,640 is: 14,922,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,324 : 6,897,640 = 6,897,640 : x
  2. Step 2: Convert to fraction form
    3,188,324/6,897,640 = 6,897,640/x
  3. Step 3: Cross multiply
    3,188,324x = 6,897,640 × 6,897,640
  4. Step 4: Simplify right side
    3,188,324x = 47,577,437,569,600
  5. Step 5: Solve for x
    x = 47,577,437,569,600/3,188,324
  6. Step 6: Final answer
    x = 14,922,397.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.