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Finding the Third Proportional to 13,111,210 and 20,522,207

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Solution

The third proportional to 13,111,210 and 20,522,207 is: 32,122,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111,210 : 20,522,207 = 20,522,207 : x
  2. Step 2: Convert to fraction form
    13,111,210/20,522,207 = 20,522,207/x
  3. Step 3: Cross multiply
    13,111,210x = 20,522,207 × 20,522,207
  4. Step 4: Simplify right side
    13,111,210x = 421,160,980,150,849
  5. Step 5: Solve for x
    x = 421,160,980,150,849/13,111,210
  6. Step 6: Final answer
    x = 32,122,205.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.