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Finding the Third Proportional to 6,504,834,514 and 8,776,548,941

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Solution

The third proportional to 6,504,834,514 and 8,776,548,941 is: 11,841,625,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504,834,514 : 8,776,548,941 = 8,776,548,941 : x
  2. Step 2: Convert to fraction form
    6,504,834,514/8,776,548,941 = 8,776,548,941/x
  3. Step 3: Cross multiply
    6,504,834,514x = 8,776,548,941 × 8,776,548,941
  4. Step 4: Simplify right side
    6,504,834,514x = 77,027,811,313,768,218,624
  5. Step 5: Solve for x
    x = 77,027,811,313,768,218,624/6,504,834,514
  6. Step 6: Final answer
    x = 11,841,625,047.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.