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Finding the Third Proportional to 8,214,178.36 and 17,527,783.64

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Solution

The third proportional to 8,214,178.36 and 17,527,783.64 is: 37,401,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214,178.36 : 17,527,783.64 = 17,527,783.64 : x
  2. Step 2: Convert to fraction form
    8,214,178.36/17,527,783.64 = 17,527,783.64/x
  3. Step 3: Cross multiply
    8,214,178.36x = 17,527,783.64 × 17,527,783.64
  4. Step 4: Simplify right side
    8,214,178.36x = 307,223,199,352,561.38
  5. Step 5: Solve for x
    x = 307,223,199,352,561.38/8,214,178.36
  6. Step 6: Final answer
    x = 37,401,573.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.