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Finding the Third Proportional to 3,105,432 and 6,786,594

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Solution

The third proportional to 3,105,432 and 6,786,594 is: 14,831,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,432 : 6,786,594 = 6,786,594 : x
  2. Step 2: Convert to fraction form
    3,105,432/6,786,594 = 6,786,594/x
  3. Step 3: Cross multiply
    3,105,432x = 6,786,594 × 6,786,594
  4. Step 4: Simplify right side
    3,105,432x = 46,057,858,120,836
  5. Step 5: Solve for x
    x = 46,057,858,120,836/3,105,432
  6. Step 6: Final answer
    x = 14,831,385.17

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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.