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Finding the Third Proportional to 5,549,342,948 and 12,948,914,364

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Solution

The third proportional to 5,549,342,948 and 12,948,914,364 is: 30,215,177,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549,342,948 : 12,948,914,364 = 12,948,914,364 : x
  2. Step 2: Convert to fraction form
    5,549,342,948/12,948,914,364 = 12,948,914,364/x
  3. Step 3: Cross multiply
    5,549,342,948x = 12,948,914,364 × 12,948,914,364
  4. Step 4: Simplify right side
    5,549,342,948x = 167,674,383,206,205,521,920
  5. Step 5: Solve for x
    x = 167,674,383,206,205,521,920/5,549,342,948
  6. Step 6: Final answer
    x = 30,215,177,684.53

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.