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Finding the Third Proportional to 14,633,241 and 31,514,034

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Solution

The third proportional to 14,633,241 and 31,514,034 is: 67,868,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633,241 : 31,514,034 = 31,514,034 : x
  2. Step 2: Convert to fraction form
    14,633,241/31,514,034 = 31,514,034/x
  3. Step 3: Cross multiply
    14,633,241x = 31,514,034 × 31,514,034
  4. Step 4: Simplify right side
    14,633,241x = 993,134,338,953,156
  5. Step 5: Solve for x
    x = 993,134,338,953,156/14,633,241
  6. Step 6: Final answer
    x = 67,868,378.51

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