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Finding the Third Proportional to 5,402,022 and 11,700,878

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Solution

The third proportional to 5,402,022 and 11,700,878 is: 25,344,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402,022 : 11,700,878 = 11,700,878 : x
  2. Step 2: Convert to fraction form
    5,402,022/11,700,878 = 11,700,878/x
  3. Step 3: Cross multiply
    5,402,022x = 11,700,878 × 11,700,878
  4. Step 4: Simplify right side
    5,402,022x = 136,910,545,970,884
  5. Step 5: Solve for x
    x = 136,910,545,970,884/5,402,022
  6. Step 6: Final answer
    x = 25,344,314.77

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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.