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Finding the Third Proportional to 2,437,764 and 5,250,142

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Solution

The third proportional to 2,437,764 and 5,250,142 is: 11,307,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437,764 : 5,250,142 = 5,250,142 : x
  2. Step 2: Convert to fraction form
    2,437,764/5,250,142 = 5,250,142/x
  3. Step 3: Cross multiply
    2,437,764x = 5,250,142 × 5,250,142
  4. Step 4: Simplify right side
    2,437,764x = 27,563,991,020,164
  5. Step 5: Solve for x
    x = 27,563,991,020,164/2,437,764
  6. Step 6: Final answer
    x = 11,307,079.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.