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Finding the Third Proportional to 2,230,482,934 and 3,374,458,413

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Solution

The third proportional to 2,230,482,934 and 3,374,458,413 is: 5,105,158,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230,482,934 : 3,374,458,413 = 3,374,458,413 : x
  2. Step 2: Convert to fraction form
    2,230,482,934/3,374,458,413 = 3,374,458,413/x
  3. Step 3: Cross multiply
    2,230,482,934x = 3,374,458,413 × 3,374,458,413
  4. Step 4: Simplify right side
    2,230,482,934x = 11,386,969,581,066,477,568
  5. Step 5: Solve for x
    x = 11,386,969,581,066,477,568/2,230,482,934
  6. Step 6: Final answer
    x = 5,105,158,801.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.