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Finding the Third Proportional to 10,139,175 and 22,545,266.63

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Solution

The third proportional to 10,139,175 and 22,545,266.63 is: 50,131,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139,175 : 22,545,266.63 = 22,545,266.63 : x
  2. Step 2: Convert to fraction form
    10,139,175/22,545,266.63 = 22,545,266.63/x
  3. Step 3: Cross multiply
    10,139,175x = 22,545,266.63 × 22,545,266.63
  4. Step 4: Simplify right side
    10,139,175x = 508,289,047,192,338.88
  5. Step 5: Solve for x
    x = 508,289,047,192,338.88/10,139,175
  6. Step 6: Final answer
    x = 50,131,203.69

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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.