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Finding the Third Proportional to 5,707,278 and 11,886,948

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Solution

The third proportional to 5,707,278 and 11,886,948 is: 24,757,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707,278 : 11,886,948 = 11,886,948 : x
  2. Step 2: Convert to fraction form
    5,707,278/11,886,948 = 11,886,948/x
  3. Step 3: Cross multiply
    5,707,278x = 11,886,948 × 11,886,948
  4. Step 4: Simplify right side
    5,707,278x = 141,299,532,754,704
  5. Step 5: Solve for x
    x = 141,299,532,754,704/5,707,278
  6. Step 6: Final answer
    x = 24,757,779.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.