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Finding the Third Proportional to 1,347,418,487 and 2,932,100,674

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Solution

The third proportional to 1,347,418,487 and 2,932,100,674 is: 6,380,507,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,418,487 : 2,932,100,674 = 2,932,100,674 : x
  2. Step 2: Convert to fraction form
    1,347,418,487/2,932,100,674 = 2,932,100,674/x
  3. Step 3: Cross multiply
    1,347,418,487x = 2,932,100,674 × 2,932,100,674
  4. Step 4: Simplify right side
    1,347,418,487x = 8,597,214,362,471,254,016
  5. Step 5: Solve for x
    x = 8,597,214,362,471,254,016/1,347,418,487
  6. Step 6: Final answer
    x = 6,380,507,945.69

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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.