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Finding the Third Proportional to 6,526,805 and 14,345,866

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Solution

The third proportional to 6,526,805 and 14,345,866 is: 31,532,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526,805 : 14,345,866 = 14,345,866 : x
  2. Step 2: Convert to fraction form
    6,526,805/14,345,866 = 14,345,866/x
  3. Step 3: Cross multiply
    6,526,805x = 14,345,866 × 14,345,866
  4. Step 4: Simplify right side
    6,526,805x = 205,803,871,289,956
  5. Step 5: Solve for x
    x = 205,803,871,289,956/6,526,805
  6. Step 6: Final answer
    x = 31,532,100.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.