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Finding the Third Proportional to 3,023,702,098 and 6,601,296,026

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Solution

The third proportional to 3,023,702,098 and 6,601,296,026 is: 14,411,839,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,702,098 : 6,601,296,026 = 6,601,296,026 : x
  2. Step 2: Convert to fraction form
    3,023,702,098/6,601,296,026 = 6,601,296,026/x
  3. Step 3: Cross multiply
    3,023,702,098x = 6,601,296,026 × 6,601,296,026
  4. Step 4: Simplify right side
    3,023,702,098x = 43,577,109,222,883,393,536
  5. Step 5: Solve for x
    x = 43,577,109,222,883,393,536/3,023,702,098
  6. Step 6: Final answer
    x = 14,411,839,463.85

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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.