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Finding the Third Proportional to 9,848,680.88 and 15,733,478.81

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Solution

The third proportional to 9,848,680.88 and 15,733,478.81 is: 25,134,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848,680.88 : 15,733,478.81 = 15,733,478.81 : x
  2. Step 2: Convert to fraction form
    9,848,680.88/15,733,478.81 = 15,733,478.81/x
  3. Step 3: Cross multiply
    9,848,680.88x = 15,733,478.81 × 15,733,478.81
  4. Step 4: Simplify right side
    9,848,680.88x = 247,542,355,543,386.41
  5. Step 5: Solve for x
    x = 247,542,355,543,386.41/9,848,680.88
  6. Step 6: Final answer
    x = 25,134,569.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.