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Finding the Third Proportional to 10,110,910,025 and 21,981,677,985

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Solution

The third proportional to 10,110,910,025 and 21,981,677,985 is: 47,789,384,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110,910,025 : 21,981,677,985 = 21,981,677,985 : x
  2. Step 2: Convert to fraction form
    10,110,910,025/21,981,677,985 = 21,981,677,985/x
  3. Step 3: Cross multiply
    10,110,910,025x = 21,981,677,985 × 21,981,677,985
  4. Step 4: Simplify right side
    10,110,910,025x = 483,194,167,036,233,646,080
  5. Step 5: Solve for x
    x = 483,194,167,036,233,646,080/10,110,910,025
  6. Step 6: Final answer
    x = 47,789,384,520.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.