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Finding the Third Proportional to 273,768,317,874 and 402,451,571,966

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Solution

The third proportional to 273,768,317,874 and 402,451,571,966 is: 591,621,664,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,768,317,874 : 402,451,571,966 = 402,451,571,966 : x
  2. Step 2: Convert to fraction form
    273,768,317,874/402,451,571,966 = 402,451,571,966/x
  3. Step 3: Cross multiply
    273,768,317,874x = 402,451,571,966 × 402,451,571,966
  4. Step 4: Simplify right side
    273,768,317,874x = 161,967,267,777,904,470,130,688
  5. Step 5: Solve for x
    x = 161,967,267,777,904,470,130,688/273,768,317,874
  6. Step 6: Final answer
    x = 591,621,664,024.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.