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Finding the Third Proportional to 14,633,241.75 and 31,514,031

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Solution

The third proportional to 14,633,241.75 and 31,514,031 is: 67,868,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633,241.75 : 31,514,031 = 31,514,031 : x
  2. Step 2: Convert to fraction form
    14,633,241.75/31,514,031 = 31,514,031/x
  3. Step 3: Cross multiply
    14,633,241.75x = 31,514,031 × 31,514,031
  4. Step 4: Simplify right side
    14,633,241.75x = 993,134,149,868,961
  5. Step 5: Solve for x
    x = 993,134,149,868,961/14,633,241.75
  6. Step 6: Final answer
    x = 67,868,362.11

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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.