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Finding the Third Proportional to 10,680,873.50 and 22,954,225

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Solution

The third proportional to 10,680,873.50 and 22,954,225 is: 49,330,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680,873.50 : 22,954,225 = 22,954,225 : x
  2. Step 2: Convert to fraction form
    10,680,873.50/22,954,225 = 22,954,225/x
  3. Step 3: Cross multiply
    10,680,873.50x = 22,954,225 × 22,954,225
  4. Step 4: Simplify right side
    10,680,873.50x = 526,896,445,350,625
  5. Step 5: Solve for x
    x = 526,896,445,350,625/10,680,873.50
  6. Step 6: Final answer
    x = 49,330,838.47

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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.