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Finding the Third Proportional to 16,291,710 and 24,589,067.63

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Solution

The third proportional to 16,291,710 and 24,589,067.63 is: 37,112,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291,710 : 24,589,067.63 = 24,589,067.63 : x
  2. Step 2: Convert to fraction form
    16,291,710/24,589,067.63 = 24,589,067.63/x
  3. Step 3: Cross multiply
    16,291,710x = 24,589,067.63 × 24,589,067.63
  4. Step 4: Simplify right side
    16,291,710x = 604,622,246,666,823.12
  5. Step 5: Solve for x
    x = 604,622,246,666,823.12/16,291,710
  6. Step 6: Final answer
    x = 37,112,264.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.