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Finding the Third Proportional to 9,231,856.50 and 19,883,472

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Solution

The third proportional to 9,231,856.50 and 19,883,472 is: 42,824,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231,856.50 : 19,883,472 = 19,883,472 : x
  2. Step 2: Convert to fraction form
    9,231,856.50/19,883,472 = 19,883,472/x
  3. Step 3: Cross multiply
    9,231,856.50x = 19,883,472 × 19,883,472
  4. Step 4: Simplify right side
    9,231,856.50x = 395,352,458,774,784
  5. Step 5: Solve for x
    x = 395,352,458,774,784/9,231,856.50
  6. Step 6: Final answer
    x = 42,824,805.47

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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.