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Finding the Third Proportional to 2,052,425,468 and 4,481,061,346

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Solution

The third proportional to 2,052,425,468 and 4,481,061,346 is: 9,783,503,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,425,468 : 4,481,061,346 = 4,481,061,346 : x
  2. Step 2: Convert to fraction form
    2,052,425,468/4,481,061,346 = 4,481,061,346/x
  3. Step 3: Cross multiply
    2,052,425,468x = 4,481,061,346 × 4,481,061,346
  4. Step 4: Simplify right side
    2,052,425,468x = 20,079,910,786,615,332,864
  5. Step 5: Solve for x
    x = 20,079,910,786,615,332,864/2,052,425,468
  6. Step 6: Final answer
    x = 9,783,503,030.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.