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Finding the Third Proportional to 10,162,056,278 and 21,159,226,278

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Solution

The third proportional to 10,162,056,278 and 21,159,226,278 is: 44,057,309,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162,056,278 : 21,159,226,278 = 21,159,226,278 : x
  2. Step 2: Convert to fraction form
    10,162,056,278/21,159,226,278 = 21,159,226,278/x
  3. Step 3: Cross multiply
    10,162,056,278x = 21,159,226,278 × 21,159,226,278
  4. Step 4: Simplify right side
    10,162,056,278x = 447,712,856,683,605,721,088
  5. Step 5: Solve for x
    x = 447,712,856,683,605,721,088/10,162,056,278
  6. Step 6: Final answer
    x = 44,057,309,311.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.