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Finding the Third Proportional to 3,125,523,198 and 6,508,263,678

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Solution

The third proportional to 3,125,523,198 and 6,508,263,678 is: 13,552,129,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125,523,198 : 6,508,263,678 = 6,508,263,678 : x
  2. Step 2: Convert to fraction form
    3,125,523,198/6,508,263,678 = 6,508,263,678/x
  3. Step 3: Cross multiply
    3,125,523,198x = 6,508,263,678 × 6,508,263,678
  4. Step 4: Simplify right side
    3,125,523,198x = 42,357,496,102,374,088,704
  5. Step 5: Solve for x
    x = 42,357,496,102,374,088,704/3,125,523,198
  6. Step 6: Final answer
    x = 13,552,129,809.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.