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Finding the Third Proportional to 33,001,298.44 and 47,123,585.16

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Solution

The third proportional to 33,001,298.44 and 47,123,585.16 is: 67,289,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,001,298.44 : 47,123,585.16 = 47,123,585.16 : x
  2. Step 2: Convert to fraction form
    33,001,298.44/47,123,585.16 = 47,123,585.16/x
  3. Step 3: Cross multiply
    33,001,298.44x = 47,123,585.16 × 47,123,585.16
  4. Step 4: Simplify right side
    33,001,298.44x = 2,220,632,277,978,345.25
  5. Step 5: Solve for x
    x = 2,220,632,277,978,345.25/33,001,298.44
  6. Step 6: Final answer
    x = 67,289,239.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.