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Finding the Third Proportional to 494,415,627,183 and 1,060,368,262,875

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Solution

The third proportional to 494,415,627,183 and 1,060,368,262,875 is: 2,274,161,234,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,415,627,183 : 1,060,368,262,875 = 1,060,368,262,875 : x
  2. Step 2: Convert to fraction form
    494,415,627,183/1,060,368,262,875 = 1,060,368,262,875/x
  3. Step 3: Cross multiply
    494,415,627,183x = 1,060,368,262,875 × 1,060,368,262,875
  4. Step 4: Simplify right side
    494,415,627,183x = 1,124,380,852,912,545,064,812,544
  5. Step 5: Solve for x
    x = 1,124,380,852,912,545,064,812,544/494,415,627,183
  6. Step 6: Final answer
    x = 2,274,161,234,180.35

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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.