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Finding the Third Proportional to 13,077,633 and 17,952,018

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Solution

The third proportional to 13,077,633 and 17,952,018 is: 24,643,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077,633 : 17,952,018 = 17,952,018 : x
  2. Step 2: Convert to fraction form
    13,077,633/17,952,018 = 17,952,018/x
  3. Step 3: Cross multiply
    13,077,633x = 17,952,018 × 17,952,018
  4. Step 4: Simplify right side
    13,077,633x = 322,274,950,272,324
  5. Step 5: Solve for x
    x = 322,274,950,272,324/13,077,633
  6. Step 6: Final answer
    x = 24,643,217.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.