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Finding the Third Proportional to 14,633,249 and 31,514,050

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Solution

The third proportional to 14,633,249 and 31,514,050 is: 67,868,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633,249 : 31,514,050 = 31,514,050 : x
  2. Step 2: Convert to fraction form
    14,633,249/31,514,050 = 31,514,050/x
  3. Step 3: Cross multiply
    14,633,249x = 31,514,050 × 31,514,050
  4. Step 4: Simplify right side
    14,633,249x = 993,135,347,402,500
  5. Step 5: Solve for x
    x = 993,135,347,402,500/14,633,249
  6. Step 6: Final answer
    x = 67,868,410.32

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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.