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Finding the Third Proportional to 6,504,834,512 and 8,776,548,938

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Solution

The third proportional to 6,504,834,512 and 8,776,548,938 is: 11,841,625,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504,834,512 : 8,776,548,938 = 8,776,548,938 : x
  2. Step 2: Convert to fraction form
    6,504,834,512/8,776,548,938 = 8,776,548,938/x
  3. Step 3: Cross multiply
    6,504,834,512x = 8,776,548,938 × 8,776,548,938
  4. Step 4: Simplify right side
    6,504,834,512x = 77,027,811,261,108,928,512
  5. Step 5: Solve for x
    x = 77,027,811,261,108,928,512/6,504,834,512
  6. Step 6: Final answer
    x = 11,841,625,043.50

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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.