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Finding the Third Proportional to 10,067,347.50 and 21,814,311

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Solution

The third proportional to 10,067,347.50 and 21,814,311 is: 47,268,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067,347.50 : 21,814,311 = 21,814,311 : x
  2. Step 2: Convert to fraction form
    10,067,347.50/21,814,311 = 21,814,311/x
  3. Step 3: Cross multiply
    10,067,347.50x = 21,814,311 × 21,814,311
  4. Step 4: Simplify right side
    10,067,347.50x = 475,864,164,404,721
  5. Step 5: Solve for x
    x = 475,864,164,404,721/10,067,347.50
  6. Step 6: Final answer
    x = 47,268,077.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.