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Finding the Third Proportional to 5,238,433 and 7,825,389

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Solution

The third proportional to 5,238,433 and 7,825,389 is: 11,689,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238,433 : 7,825,389 = 7,825,389 : x
  2. Step 2: Convert to fraction form
    5,238,433/7,825,389 = 7,825,389/x
  3. Step 3: Cross multiply
    5,238,433x = 7,825,389 × 7,825,389
  4. Step 4: Simplify right side
    5,238,433x = 61,236,713,001,321
  5. Step 5: Solve for x
    x = 61,236,713,001,321/5,238,433
  6. Step 6: Final answer
    x = 11,689,891.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.