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Finding the Third Proportional to 15,682,096.13 and 33,970,068.56

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Solution

The third proportional to 15,682,096.13 and 33,970,068.56 is: 73,584,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682,096.13 : 33,970,068.56 = 33,970,068.56 : x
  2. Step 2: Convert to fraction form
    15,682,096.13/33,970,068.56 = 33,970,068.56/x
  3. Step 3: Cross multiply
    15,682,096.13x = 33,970,068.56 × 33,970,068.56
  4. Step 4: Simplify right side
    15,682,096.13x = 1,153,965,558,140,950.75
  5. Step 5: Solve for x
    x = 1,153,965,558,140,950.75/15,682,096.13
  6. Step 6: Final answer
    x = 73,584,905.29

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Why These Related Problems?

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