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Finding the Third Proportional to 7,816,537.13 and 16,978,660.17

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Solution

The third proportional to 7,816,537.13 and 16,978,660.17 is: 36,880,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,537.13 : 16,978,660.17 = 16,978,660.17 : x
  2. Step 2: Convert to fraction form
    7,816,537.13/16,978,660.17 = 16,978,660.17/x
  3. Step 3: Cross multiply
    7,816,537.13x = 16,978,660.17 × 16,978,660.17
  4. Step 4: Simplify right side
    7,816,537.13x = 288,274,901,232,014.38
  5. Step 5: Solve for x
    x = 288,274,901,232,014.38/7,816,537.13
  6. Step 6: Final answer
    x = 36,880,129.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.