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Finding the Third Proportional to 9,447,976.69 and 20,726,472.38

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Solution

The third proportional to 9,447,976.69 and 20,726,472.38 is: 45,468,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,976.69 : 20,726,472.38 = 20,726,472.38 : x
  2. Step 2: Convert to fraction form
    9,447,976.69/20,726,472.38 = 20,726,472.38/x
  3. Step 3: Cross multiply
    9,447,976.69x = 20,726,472.38 × 20,726,472.38
  4. Step 4: Simplify right side
    9,447,976.69x = 429,586,657,111,638.12
  5. Step 5: Solve for x
    x = 429,586,657,111,638.12/9,447,976.69
  6. Step 6: Final answer
    x = 45,468,640.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.