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Finding the Third Proportional to 2,531,483,848 and 5,451,781,372

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Solution

The third proportional to 2,531,483,848 and 5,451,781,372 is: 11,740,908,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,483,848 : 5,451,781,372 = 5,451,781,372 : x
  2. Step 2: Convert to fraction form
    2,531,483,848/5,451,781,372 = 5,451,781,372/x
  3. Step 3: Cross multiply
    2,531,483,848x = 5,451,781,372 × 5,451,781,372
  4. Step 4: Simplify right side
    2,531,483,848x = 29,721,920,128,086,204,416
  5. Step 5: Solve for x
    x = 29,721,920,128,086,204,416/2,531,483,848
  6. Step 6: Final answer
    x = 11,740,908,460.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.