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Finding the Third Proportional to 10,094,240,622 and 21,965,951,964

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Solution

The third proportional to 10,094,240,622 and 21,965,951,964 is: 47,799,835,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094,240,622 : 21,965,951,964 = 21,965,951,964 : x
  2. Step 2: Convert to fraction form
    10,094,240,622/21,965,951,964 = 21,965,951,964/x
  3. Step 3: Cross multiply
    10,094,240,622x = 21,965,951,964 × 21,965,951,964
  4. Step 4: Simplify right side
    10,094,240,622x = 482,503,045,684,755,431,424
  5. Step 5: Solve for x
    x = 482,503,045,684,755,431,424/10,094,240,622
  6. Step 6: Final answer
    x = 47,799,835,941.41

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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.