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Finding the Third Proportional to 1,093,102,601 and 2,360,381,709

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Solution

The third proportional to 1,093,102,601 and 2,360,381,709 is: 5,096,869,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,102,601 : 2,360,381,709 = 2,360,381,709 : x
  2. Step 2: Convert to fraction form
    1,093,102,601/2,360,381,709 = 2,360,381,709/x
  3. Step 3: Cross multiply
    1,093,102,601x = 2,360,381,709 × 2,360,381,709
  4. Step 4: Simplify right side
    1,093,102,601x = 5,571,401,812,181,761,024
  5. Step 5: Solve for x
    x = 5,571,401,812,181,761,024/1,093,102,601
  6. Step 6: Final answer
    x = 5,096,869,961.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.