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Finding the Third Proportional to 6,193,199.25 and 14,571,368.44

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Solution

The third proportional to 6,193,199.25 and 14,571,368.44 is: 34,283,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193,199.25 : 14,571,368.44 = 14,571,368.44 : x
  2. Step 2: Convert to fraction form
    6,193,199.25/14,571,368.44 = 14,571,368.44/x
  3. Step 3: Cross multiply
    6,193,199.25x = 14,571,368.44 × 14,571,368.44
  4. Step 4: Simplify right side
    6,193,199.25x = 212,324,778,141,371.19
  5. Step 5: Solve for x
    x = 212,324,778,141,371.19/6,193,199.25
  6. Step 6: Final answer
    x = 34,283,537.40

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.