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Finding the Third Proportional to 567,242,190 and 1,233,870,408

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Solution

The third proportional to 567,242,190 and 1,233,870,408 is: 2,683,926,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,242,190 : 1,233,870,408 = 1,233,870,408 : x
  2. Step 2: Convert to fraction form
    567,242,190/1,233,870,408 = 1,233,870,408/x
  3. Step 3: Cross multiply
    567,242,190x = 1,233,870,408 × 1,233,870,408
  4. Step 4: Simplify right side
    567,242,190x = 1,522,436,183,738,086,400
  5. Step 5: Solve for x
    x = 1,522,436,183,738,086,400/567,242,190
  6. Step 6: Final answer
    x = 2,683,926,214.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.