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Finding the Third Proportional to 10,139,203.50 and 22,545,321

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Solution

The third proportional to 10,139,203.50 and 22,545,321 is: 50,131,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139,203.50 : 22,545,321 = 22,545,321 : x
  2. Step 2: Convert to fraction form
    10,139,203.50/22,545,321 = 22,545,321/x
  3. Step 3: Cross multiply
    10,139,203.50x = 22,545,321 × 22,545,321
  4. Step 4: Simplify right side
    10,139,203.50x = 508,291,498,993,041
  5. Step 5: Solve for x
    x = 508,291,498,993,041/10,139,203.50
  6. Step 6: Final answer
    x = 50,131,304.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.