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Finding the Third Proportional to 3,096,804 and 6,477,432

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Solution

The third proportional to 3,096,804 and 6,477,432 is: 13,548,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,804 : 6,477,432 = 6,477,432 : x
  2. Step 2: Convert to fraction form
    3,096,804/6,477,432 = 6,477,432/x
  3. Step 3: Cross multiply
    3,096,804x = 6,477,432 × 6,477,432
  4. Step 4: Simplify right side
    3,096,804x = 41,957,125,314,624
  5. Step 5: Solve for x
    x = 41,957,125,314,624/3,096,804
  6. Step 6: Final answer
    x = 13,548,524.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.