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Finding the Third Proportional to 7,095,107 and 10,961,823

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Solution

The third proportional to 7,095,107 and 10,961,823 is: 16,935,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095,107 : 10,961,823 = 10,961,823 : x
  2. Step 2: Convert to fraction form
    7,095,107/10,961,823 = 10,961,823/x
  3. Step 3: Cross multiply
    7,095,107x = 10,961,823 × 10,961,823
  4. Step 4: Simplify right side
    7,095,107x = 120,161,563,483,329
  5. Step 5: Solve for x
    x = 120,161,563,483,329/7,095,107
  6. Step 6: Final answer
    x = 16,935,835.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.