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Finding the Third Proportional to 6,441,266 and 14,040,004

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Solution

The third proportional to 6,441,266 and 14,040,004 is: 30,602,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,266 : 14,040,004 = 14,040,004 : x
  2. Step 2: Convert to fraction form
    6,441,266/14,040,004 = 14,040,004/x
  3. Step 3: Cross multiply
    6,441,266x = 14,040,004 × 14,040,004
  4. Step 4: Simplify right side
    6,441,266x = 197,121,712,320,016
  5. Step 5: Solve for x
    x = 197,121,712,320,016/6,441,266
  6. Step 6: Final answer
    x = 30,602,945.50

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Why These Related Problems?

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