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Finding the Third Proportional to 426,533,074,178 and 888,370,040,020

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Solution

The third proportional to 426,533,074,178 and 888,370,040,020 is: 1,850,269,945,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,533,074,178 : 888,370,040,020 = 888,370,040,020 : x
  2. Step 2: Convert to fraction form
    426,533,074,178/888,370,040,020 = 888,370,040,020/x
  3. Step 3: Cross multiply
    426,533,074,178x = 888,370,040,020 × 888,370,040,020
  4. Step 4: Simplify right side
    426,533,074,178x = 789,201,328,005,136,395,534,336
  5. Step 5: Solve for x
    x = 789,201,328,005,136,395,534,336/426,533,074,178
  6. Step 6: Final answer
    x = 1,850,269,945,715.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.