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Finding the Third Proportional to 6,731,983.50 and 14,605,311

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Solution

The third proportional to 6,731,983.50 and 14,605,311 is: 31,686,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731,983.50 : 14,605,311 = 14,605,311 : x
  2. Step 2: Convert to fraction form
    6,731,983.50/14,605,311 = 14,605,311/x
  3. Step 3: Cross multiply
    6,731,983.50x = 14,605,311 × 14,605,311
  4. Step 4: Simplify right side
    6,731,983.50x = 213,315,109,406,721
  5. Step 5: Solve for x
    x = 213,315,109,406,721/6,731,983.50
  6. Step 6: Final answer
    x = 31,686,814.06

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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.