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Finding the Third Proportional to 6,461,227,386 and 14,054,529,078

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Solution

The third proportional to 6,461,227,386 and 14,054,529,078 is: 30,571,557,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,227,386 : 14,054,529,078 = 14,054,529,078 : x
  2. Step 2: Convert to fraction form
    6,461,227,386/14,054,529,078 = 14,054,529,078/x
  3. Step 3: Cross multiply
    6,461,227,386x = 14,054,529,078 × 14,054,529,078
  4. Step 4: Simplify right side
    6,461,227,386x = 197,529,787,604,347,518,976
  5. Step 5: Solve for x
    x = 197,529,787,604,347,518,976/6,461,227,386
  6. Step 6: Final answer
    x = 30,571,557,972.46

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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.