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Finding the Third Proportional to 1,347,418,485 and 2,932,100,670

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Solution

The third proportional to 1,347,418,485 and 2,932,100,670 is: 6,380,507,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,418,485 : 2,932,100,670 = 2,932,100,670 : x
  2. Step 2: Convert to fraction form
    1,347,418,485/2,932,100,670 = 2,932,100,670/x
  3. Step 3: Cross multiply
    1,347,418,485x = 2,932,100,670 × 2,932,100,670
  4. Step 4: Simplify right side
    1,347,418,485x = 8,597,214,339,014,449,152
  5. Step 5: Solve for x
    x = 8,597,214,339,014,449,152/1,347,418,485
  6. Step 6: Final answer
    x = 6,380,507,937.75

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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.