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Finding the Third Proportional to 10,144,650.38 and 20,643,593.63

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Solution

The third proportional to 10,144,650.38 and 20,643,593.63 is: 42,008,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144,650.38 : 20,643,593.63 = 20,643,593.63 : x
  2. Step 2: Convert to fraction form
    10,144,650.38/20,643,593.63 = 20,643,593.63/x
  3. Step 3: Cross multiply
    10,144,650.38x = 20,643,593.63 × 20,643,593.63
  4. Step 4: Simplify right side
    10,144,650.38x = 426,157,957,754,140.62
  5. Step 5: Solve for x
    x = 426,157,957,754,140.62/10,144,650.38
  6. Step 6: Final answer
    x = 42,008,146.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.