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Finding the Third Proportional to 14,633,244 and 31,514,040

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Solution

The third proportional to 14,633,244 and 31,514,040 is: 67,868,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633,244 : 31,514,040 = 31,514,040 : x
  2. Step 2: Convert to fraction form
    14,633,244/31,514,040 = 31,514,040/x
  3. Step 3: Cross multiply
    14,633,244x = 31,514,040 × 31,514,040
  4. Step 4: Simplify right side
    14,633,244x = 993,134,717,121,600
  5. Step 5: Solve for x
    x = 993,134,717,121,600/14,633,244
  6. Step 6: Final answer
    x = 67,868,390.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.