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Finding the Third Proportional to 6,188,253.19 and 13,441,446.28

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Solution

The third proportional to 6,188,253.19 and 13,441,446.28 is: 29,196,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188,253.19 : 13,441,446.28 = 13,441,446.28 : x
  2. Step 2: Convert to fraction form
    6,188,253.19/13,441,446.28 = 13,441,446.28/x
  3. Step 3: Cross multiply
    6,188,253.19x = 13,441,446.28 × 13,441,446.28
  4. Step 4: Simplify right side
    6,188,253.19x = 180,672,478,131,729.47
  5. Step 5: Solve for x
    x = 180,672,478,131,729.47/6,188,253.19
  6. Step 6: Final answer
    x = 29,196,038.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.