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Finding the Third Proportional to 3,542,838,277 and 7,611,445,159

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Solution

The third proportional to 3,542,838,277 and 7,611,445,159 is: 16,352,453,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,838,277 : 7,611,445,159 = 7,611,445,159 : x
  2. Step 2: Convert to fraction form
    3,542,838,277/7,611,445,159 = 7,611,445,159/x
  3. Step 3: Cross multiply
    3,542,838,277x = 7,611,445,159 × 7,611,445,159
  4. Step 4: Simplify right side
    3,542,838,277x = 57,934,097,408,464,535,552
  5. Step 5: Solve for x
    x = 57,934,097,408,464,535,552/3,542,838,277
  6. Step 6: Final answer
    x = 16,352,453,281.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.