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Finding the Third Proportional to 14,633,242 and 31,514,036

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Solution

The third proportional to 14,633,242 and 31,514,036 is: 67,868,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633,242 : 31,514,036 = 31,514,036 : x
  2. Step 2: Convert to fraction form
    14,633,242/31,514,036 = 31,514,036/x
  3. Step 3: Cross multiply
    14,633,242x = 31,514,036 × 31,514,036
  4. Step 4: Simplify right side
    14,633,242x = 993,134,465,009,296
  5. Step 5: Solve for x
    x = 993,134,465,009,296/14,633,242
  6. Step 6: Final answer
    x = 67,868,382.48

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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.