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Finding the Third Proportional to 2,587,425,224 and 5,628,194,704

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Solution

The third proportional to 2,587,425,224 and 5,628,194,704 is: 12,242,508,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,425,224 : 5,628,194,704 = 5,628,194,704 : x
  2. Step 2: Convert to fraction form
    2,587,425,224/5,628,194,704 = 5,628,194,704/x
  3. Step 3: Cross multiply
    2,587,425,224x = 5,628,194,704 × 5,628,194,704
  4. Step 4: Simplify right side
    2,587,425,224x = 31,676,575,626,133,647,360
  5. Step 5: Solve for x
    x = 31,676,575,626,133,647,360/2,587,425,224
  6. Step 6: Final answer
    x = 12,242,508,626.84

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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.