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Finding the Third Proportional to 6,461,227,384 and 14,054,529,074

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Solution

The third proportional to 6,461,227,384 and 14,054,529,074 is: 30,571,557,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,227,384 : 14,054,529,074 = 14,054,529,074 : x
  2. Step 2: Convert to fraction form
    6,461,227,384/14,054,529,074 = 14,054,529,074/x
  3. Step 3: Cross multiply
    6,461,227,384x = 14,054,529,074 × 14,054,529,074
  4. Step 4: Simplify right side
    6,461,227,384x = 197,529,787,491,911,303,168
  5. Step 5: Solve for x
    x = 197,529,787,491,911,303,168/6,461,227,384
  6. Step 6: Final answer
    x = 30,571,557,964.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.