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Finding the Third Proportional to 8,114,126.25 and 17,133,668.25

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Solution

The third proportional to 8,114,126.25 and 17,133,668.25 is: 36,179,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114,126.25 : 17,133,668.25 = 17,133,668.25 : x
  2. Step 2: Convert to fraction form
    8,114,126.25/17,133,668.25 = 17,133,668.25/x
  3. Step 3: Cross multiply
    8,114,126.25x = 17,133,668.25 × 17,133,668.25
  4. Step 4: Simplify right side
    8,114,126.25x = 293,562,587,701,058.06
  5. Step 5: Solve for x
    x = 293,562,587,701,058.06/8,114,126.25
  6. Step 6: Final answer
    x = 36,179,198.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.