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Finding the Third Proportional to 7,186,998.38 and 10,769,425.88

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Solution

The third proportional to 7,186,998.38 and 10,769,425.88 is: 16,137,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186,998.38 : 10,769,425.88 = 10,769,425.88 : x
  2. Step 2: Convert to fraction form
    7,186,998.38/10,769,425.88 = 10,769,425.88/x
  3. Step 3: Cross multiply
    7,186,998.38x = 10,769,425.88 × 10,769,425.88
  4. Step 4: Simplify right side
    7,186,998.38x = 115,980,533,677,119.52
  5. Step 5: Solve for x
    x = 115,980,533,677,119.52/7,186,998.38
  6. Step 6: Final answer
    x = 16,137,548.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.