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Finding the Third Proportional to 14,633,264 and 31,514,068

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Solution

The third proportional to 14,633,264 and 31,514,068 is: 67,868,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633,264 : 31,514,068 = 31,514,068 : x
  2. Step 2: Convert to fraction form
    14,633,264/31,514,068 = 31,514,068/x
  3. Step 3: Cross multiply
    14,633,264x = 31,514,068 × 31,514,068
  4. Step 4: Simplify right side
    14,633,264x = 993,136,481,908,624
  5. Step 5: Solve for x
    x = 993,136,481,908,624/14,633,264
  6. Step 6: Final answer
    x = 67,868,418.28

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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.