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Finding the Third Proportional to 6,410,611,534.64 and 13,924,773,758.11

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Solution

The third proportional to 6,410,611,534.64 and 13,924,773,758.11 is: 30,246,618,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,611,534.64 : 13,924,773,758.11 = 13,924,773,758.11 : x
  2. Step 2: Convert to fraction form
    6,410,611,534.64/13,924,773,758.11 = 13,924,773,758.11/x
  3. Step 3: Cross multiply
    6,410,611,534.64x = 13,924,773,758.11 × 13,924,773,758.11
  4. Step 4: Simplify right side
    6,410,611,534.64x = 193,899,324,214,521,036,800
  5. Step 5: Solve for x
    x = 193,899,324,214,521,036,800/6,410,611,534.64
  6. Step 6: Final answer
    x = 30,246,618,932.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.