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Finding the Third Proportional to 7,486,741.50 and 15,328,143

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Solution

The third proportional to 7,486,741.50 and 15,328,143 is: 31,382,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486,741.50 : 15,328,143 = 15,328,143 : x
  2. Step 2: Convert to fraction form
    7,486,741.50/15,328,143 = 15,328,143/x
  3. Step 3: Cross multiply
    7,486,741.50x = 15,328,143 × 15,328,143
  4. Step 4: Simplify right side
    7,486,741.50x = 234,951,967,828,449
  5. Step 5: Solve for x
    x = 234,951,967,828,449/7,486,741.50
  6. Step 6: Final answer
    x = 31,382,406.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.