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Finding the Third Proportional to 19,438,794.56 and 41,762,358.94

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Solution

The third proportional to 19,438,794.56 and 41,762,358.94 is: 89,722,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,438,794.56 : 41,762,358.94 = 41,762,358.94 : x
  2. Step 2: Convert to fraction form
    19,438,794.56/41,762,358.94 = 41,762,358.94/x
  3. Step 3: Cross multiply
    19,438,794.56x = 41,762,358.94 × 41,762,358.94
  4. Step 4: Simplify right side
    19,438,794.56x = 1,744,094,624,024,586.25
  5. Step 5: Solve for x
    x = 1,744,094,624,024,586.25/19,438,794.56
  6. Step 6: Final answer
    x = 89,722,365.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.