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Finding the Third Proportional to 7,198,148 and 11,037,815

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Solution

The third proportional to 7,198,148 and 11,037,815 is: 16,925,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,148 : 11,037,815 = 11,037,815 : x
  2. Step 2: Convert to fraction form
    7,198,148/11,037,815 = 11,037,815/x
  3. Step 3: Cross multiply
    7,198,148x = 11,037,815 × 11,037,815
  4. Step 4: Simplify right side
    7,198,148x = 121,833,359,974,225
  5. Step 5: Solve for x
    x = 121,833,359,974,225/7,198,148
  6. Step 6: Final answer
    x = 16,925,653.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.