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Finding the Third Proportional to 10,265,810,494 and 22,004,972,108

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Solution

The third proportional to 10,265,810,494 and 22,004,972,108 is: 47,168,102,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265,810,494 : 22,004,972,108 = 22,004,972,108 : x
  2. Step 2: Convert to fraction form
    10,265,810,494/22,004,972,108 = 22,004,972,108/x
  3. Step 3: Cross multiply
    10,265,810,494x = 22,004,972,108 × 22,004,972,108
  4. Step 4: Simplify right side
    10,265,810,494x = 484,218,797,473,857,994,752
  5. Step 5: Solve for x
    x = 484,218,797,473,857,994,752/10,265,810,494
  6. Step 6: Final answer
    x = 47,168,102,095.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.