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Finding the Third Proportional to 7,862,240 and 11,848,764

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Solution

The third proportional to 7,862,240 and 11,848,764 is: 17,856,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,240 : 11,848,764 = 11,848,764 : x
  2. Step 2: Convert to fraction form
    7,862,240/11,848,764 = 11,848,764/x
  3. Step 3: Cross multiply
    7,862,240x = 11,848,764 × 11,848,764
  4. Step 4: Simplify right side
    7,862,240x = 140,393,208,327,696
  5. Step 5: Solve for x
    x = 140,393,208,327,696/7,862,240
  6. Step 6: Final answer
    x = 17,856,642.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.