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Finding the Third Proportional to 4,294,865.53 and 9,335,224.69

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Solution

The third proportional to 4,294,865.53 and 9,335,224.69 is: 20,290,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294,865.53 : 9,335,224.69 = 9,335,224.69 : x
  2. Step 2: Convert to fraction form
    4,294,865.53/9,335,224.69 = 9,335,224.69/x
  3. Step 3: Cross multiply
    4,294,865.53x = 9,335,224.69 × 9,335,224.69
  4. Step 4: Simplify right side
    4,294,865.53x = 87,146,419,966,109.47
  5. Step 5: Solve for x
    x = 87,146,419,966,109.47/4,294,865.53
  6. Step 6: Final answer
    x = 20,290,837.82

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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.