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Finding the Third Proportional to 1,347,418,575 and 2,932,100,854

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Solution

The third proportional to 1,347,418,575 and 2,932,100,854 is: 6,380,508,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,418,575 : 2,932,100,854 = 2,932,100,854 : x
  2. Step 2: Convert to fraction form
    1,347,418,575/2,932,100,854 = 2,932,100,854/x
  3. Step 3: Cross multiply
    1,347,418,575x = 2,932,100,854 × 2,932,100,854
  4. Step 4: Simplify right side
    1,347,418,575x = 8,597,215,418,027,529,216
  5. Step 5: Solve for x
    x = 8,597,215,418,027,529,216/1,347,418,575
  6. Step 6: Final answer
    x = 6,380,508,312.37

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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.