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Finding the Third Proportional to 2,078,933,484 and 4,622,682,984

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Solution

The third proportional to 2,078,933,484 and 4,622,682,984 is: 10,278,923,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,933,484 : 4,622,682,984 = 4,622,682,984 : x
  2. Step 2: Convert to fraction form
    2,078,933,484/4,622,682,984 = 4,622,682,984/x
  3. Step 3: Cross multiply
    2,078,933,484x = 4,622,682,984 × 4,622,682,984
  4. Step 4: Simplify right side
    2,078,933,484x = 21,369,197,970,563,145,728
  5. Step 5: Solve for x
    x = 21,369,197,970,563,145,728/2,078,933,484
  6. Step 6: Final answer
    x = 10,278,923,368.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.