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Finding the Third Proportional to 6,768,655,664 and 14,844,857,392

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Solution

The third proportional to 6,768,655,664 and 14,844,857,392 is: 32,557,394,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768,655,664 : 14,844,857,392 = 14,844,857,392 : x
  2. Step 2: Convert to fraction form
    6,768,655,664/14,844,857,392 = 14,844,857,392/x
  3. Step 3: Cross multiply
    6,768,655,664x = 14,844,857,392 × 14,844,857,392
  4. Step 4: Simplify right side
    6,768,655,664x = 220,369,790,988,817,039,360
  5. Step 5: Solve for x
    x = 220,369,790,988,817,039,360/6,768,655,664
  6. Step 6: Final answer
    x = 32,557,394,249.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.