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Finding the Third Proportional to 548,110,920 and 1,293,486,138

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Solution

The third proportional to 548,110,920 and 1,293,486,138 is: 3,052,495,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,110,920 : 1,293,486,138 = 1,293,486,138 : x
  2. Step 2: Convert to fraction form
    548,110,920/1,293,486,138 = 1,293,486,138/x
  3. Step 3: Cross multiply
    548,110,920x = 1,293,486,138 × 1,293,486,138
  4. Step 4: Simplify right side
    548,110,920x = 1,673,106,389,198,155,008
  5. Step 5: Solve for x
    x = 1,673,106,389,198,155,008/548,110,920
  6. Step 6: Final answer
    x = 3,052,495,996.97

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.