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Finding the Third Proportional to 6,768,655,668 and 14,844,857,400

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Solution

The third proportional to 6,768,655,668 and 14,844,857,400 is: 32,557,394,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768,655,668 : 14,844,857,400 = 14,844,857,400 : x
  2. Step 2: Convert to fraction form
    6,768,655,668/14,844,857,400 = 14,844,857,400/x
  3. Step 3: Cross multiply
    6,768,655,668x = 14,844,857,400 × 14,844,857,400
  4. Step 4: Simplify right side
    6,768,655,668x = 220,369,791,226,334,773,248
  5. Step 5: Solve for x
    x = 220,369,791,226,334,773,248/6,768,655,668
  6. Step 6: Final answer
    x = 32,557,394,264.89

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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.