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Finding the Third Proportional to 7,098,726 and 11,590,353

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Solution

The third proportional to 7,098,726 and 11,590,353 is: 18,923,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098,726 : 11,590,353 = 11,590,353 : x
  2. Step 2: Convert to fraction form
    7,098,726/11,590,353 = 11,590,353/x
  3. Step 3: Cross multiply
    7,098,726x = 11,590,353 × 11,590,353
  4. Step 4: Simplify right side
    7,098,726x = 134,336,282,664,609
  5. Step 5: Solve for x
    x = 134,336,282,664,609/7,098,726
  6. Step 6: Final answer
    x = 18,923,998.85

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.