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Finding the Third Proportional to 6,504,834,501 and 8,776,548,924.50

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Solution

The third proportional to 6,504,834,501 and 8,776,548,924.50 is: 11,841,625,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504,834,501 : 8,776,548,924.50 = 8,776,548,924.50 : x
  2. Step 2: Convert to fraction form
    6,504,834,501/8,776,548,924.50 = 8,776,548,924.50/x
  3. Step 3: Cross multiply
    6,504,834,501x = 8,776,548,924.50 × 8,776,548,924.50
  4. Step 4: Simplify right side
    6,504,834,501x = 77,027,811,024,142,106,624
  5. Step 5: Solve for x
    x = 77,027,811,024,142,106,624/6,504,834,501
  6. Step 6: Final answer
    x = 11,841,625,027.09

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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.