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Finding the Third Proportional to 6,442,190 and 13,893,135

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Solution

The third proportional to 6,442,190 and 13,893,135 is: 29,961,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442,190 : 13,893,135 = 13,893,135 : x
  2. Step 2: Convert to fraction form
    6,442,190/13,893,135 = 13,893,135/x
  3. Step 3: Cross multiply
    6,442,190x = 13,893,135 × 13,893,135
  4. Step 4: Simplify right side
    6,442,190x = 193,019,200,128,225
  5. Step 5: Solve for x
    x = 193,019,200,128,225/6,442,190
  6. Step 6: Final answer
    x = 29,961,736.63

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