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Finding the Third Proportional to 1,347,418,489 and 2,932,100,678

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Solution

The third proportional to 1,347,418,489 and 2,932,100,678 is: 6,380,507,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,418,489 : 2,932,100,678 = 2,932,100,678 : x
  2. Step 2: Convert to fraction form
    1,347,418,489/2,932,100,678 = 2,932,100,678/x
  3. Step 3: Cross multiply
    1,347,418,489x = 2,932,100,678 × 2,932,100,678
  4. Step 4: Simplify right side
    1,347,418,489x = 8,597,214,385,928,059,904
  5. Step 5: Solve for x
    x = 8,597,214,385,928,059,904/1,347,418,489
  6. Step 6: Final answer
    x = 6,380,507,953.63

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