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Finding the Third Proportional to 3,101,965.03 and 6,816,219.19

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Solution

The third proportional to 3,101,965.03 and 6,816,219.19 is: 14,977,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,965.03 : 6,816,219.19 = 6,816,219.19 : x
  2. Step 2: Convert to fraction form
    3,101,965.03/6,816,219.19 = 6,816,219.19/x
  3. Step 3: Cross multiply
    3,101,965.03x = 6,816,219.19 × 6,816,219.19
  4. Step 4: Simplify right side
    3,101,965.03x = 46,460,844,012,043.16
  5. Step 5: Solve for x
    x = 46,460,844,012,043.16/3,101,965.03
  6. Step 6: Final answer
    x = 14,977,874.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.