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Finding the Third Proportional to 2,309,632,254 and 4,741,704,918

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Solution

The third proportional to 2,309,632,254 and 4,741,704,918 is: 9,734,781,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,632,254 : 4,741,704,918 = 4,741,704,918 : x
  2. Step 2: Convert to fraction form
    2,309,632,254/4,741,704,918 = 4,741,704,918/x
  3. Step 3: Cross multiply
    2,309,632,254x = 4,741,704,918 × 4,741,704,918
  4. Step 4: Simplify right side
    2,309,632,254x = 22,483,765,529,385,385,984
  5. Step 5: Solve for x
    x = 22,483,765,529,385,385,984/2,309,632,254
  6. Step 6: Final answer
    x = 9,734,781,582.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.