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Finding the Third Proportional to 1,347,418,483 and 2,932,100,666

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Solution

The third proportional to 1,347,418,483 and 2,932,100,666 is: 6,380,507,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,418,483 : 2,932,100,666 = 2,932,100,666 : x
  2. Step 2: Convert to fraction form
    1,347,418,483/2,932,100,666 = 2,932,100,666/x
  3. Step 3: Cross multiply
    1,347,418,483x = 2,932,100,666 × 2,932,100,666
  4. Step 4: Simplify right side
    1,347,418,483x = 8,597,214,315,557,643,264
  5. Step 5: Solve for x
    x = 8,597,214,315,557,643,264/1,347,418,483
  6. Step 6: Final answer
    x = 6,380,507,929.81

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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.