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Finding the Third Proportional to 7,816,538.81 and 16,978,663.13

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Solution

The third proportional to 7,816,538.81 and 16,978,663.13 is: 36,880,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,538.81 : 16,978,663.13 = 16,978,663.13 : x
  2. Step 2: Convert to fraction form
    7,816,538.81/16,978,663.13 = 16,978,663.13/x
  3. Step 3: Cross multiply
    7,816,538.81x = 16,978,663.13 × 16,978,663.13
  4. Step 4: Simplify right side
    7,816,538.81x = 288,275,001,512,234.75
  5. Step 5: Solve for x
    x = 288,275,001,512,234.75/7,816,538.81
  6. Step 6: Final answer
    x = 36,880,134.34

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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.