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Finding the Third Proportional to 3,421,760,873,082 and 7,251,475,521,081

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Solution

The third proportional to 3,421,760,873,082 and 7,251,475,521,081 is: 15,367,496,205,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,760,873,082 : 7,251,475,521,081 = 7,251,475,521,081 : x
  2. Step 2: Convert to fraction form
    3,421,760,873,082/7,251,475,521,081 = 7,251,475,521,081/x
  3. Step 3: Cross multiply
    3,421,760,873,082x = 7,251,475,521,081 × 7,251,475,521,081
  4. Step 4: Simplify right side
    3,421,760,873,082x = 52,583,897,232,836,962,228,895,744
  5. Step 5: Solve for x
    x = 52,583,897,232,836,962,228,895,744/3,421,760,873,082
  6. Step 6: Final answer
    x = 15,367,496,205,389.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.