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Finding the Third Proportional to 15,683,633.86 and 33,972,804.84

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Solution

The third proportional to 15,683,633.86 and 33,972,804.84 is: 73,589,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683,633.86 : 33,972,804.84 = 33,972,804.84 : x
  2. Step 2: Convert to fraction form
    15,683,633.86/33,972,804.84 = 33,972,804.84/x
  3. Step 3: Cross multiply
    15,683,633.86x = 33,972,804.84 × 33,972,804.84
  4. Step 4: Simplify right side
    15,683,633.86x = 1,154,151,468,951,523.50
  5. Step 5: Solve for x
    x = 1,154,151,468,951,523.50/15,683,633.86
  6. Step 6: Final answer
    x = 73,589,544.32

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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.