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Finding the Third Proportional to 11,145,740 and 15,695,658

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Solution

The third proportional to 11,145,740 and 15,695,658 is: 22,102,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145,740 : 15,695,658 = 15,695,658 : x
  2. Step 2: Convert to fraction form
    11,145,740/15,695,658 = 15,695,658/x
  3. Step 3: Cross multiply
    11,145,740x = 15,695,658 × 15,695,658
  4. Step 4: Simplify right side
    11,145,740x = 246,353,680,052,964
  5. Step 5: Solve for x
    x = 246,353,680,052,964/11,145,740
  6. Step 6: Final answer
    x = 22,102,945.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.