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Finding the Third Proportional to 5,431,840 and 11,797,854

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Solution

The third proportional to 5,431,840 and 11,797,854 is: 25,624,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,840 : 11,797,854 = 11,797,854 : x
  2. Step 2: Convert to fraction form
    5,431,840/11,797,854 = 11,797,854/x
  3. Step 3: Cross multiply
    5,431,840x = 11,797,854 × 11,797,854
  4. Step 4: Simplify right side
    5,431,840x = 139,189,359,005,316
  5. Step 5: Solve for x
    x = 139,189,359,005,316/5,431,840
  6. Step 6: Final answer
    x = 25,624,716.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.