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Finding the Third Proportional to 3,143,190,258 and 5,238,334,719

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Solution

The third proportional to 3,143,190,258 and 5,238,334,719 is: 8,730,031,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,190,258 : 5,238,334,719 = 5,238,334,719 : x
  2. Step 2: Convert to fraction form
    3,143,190,258/5,238,334,719 = 5,238,334,719/x
  3. Step 3: Cross multiply
    3,143,190,258x = 5,238,334,719 × 5,238,334,719
  4. Step 4: Simplify right side
    3,143,190,258x = 27,440,150,628,280,807,424
  5. Step 5: Solve for x
    x = 27,440,150,628,280,807,424/3,143,190,258
  6. Step 6: Final answer
    x = 8,730,031,711.71

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.