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Finding the Third Proportional to 6,334,647.75 and 13,830,439

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Solution

The third proportional to 6,334,647.75 and 13,830,439 is: 30,196,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334,647.75 : 13,830,439 = 13,830,439 : x
  2. Step 2: Convert to fraction form
    6,334,647.75/13,830,439 = 13,830,439/x
  3. Step 3: Cross multiply
    6,334,647.75x = 13,830,439 × 13,830,439
  4. Step 4: Simplify right side
    6,334,647.75x = 191,281,042,932,721
  5. Step 5: Solve for x
    x = 191,281,042,932,721/6,334,647.75
  6. Step 6: Final answer
    x = 30,196,003.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.