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Finding the Third Proportional to 3,542,838,281 and 7,611,445,166

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Solution

The third proportional to 3,542,838,281 and 7,611,445,166 is: 16,352,453,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,838,281 : 7,611,445,166 = 7,611,445,166 : x
  2. Step 2: Convert to fraction form
    3,542,838,281/7,611,445,166 = 7,611,445,166/x
  3. Step 3: Cross multiply
    3,542,838,281x = 7,611,445,166 × 7,611,445,166
  4. Step 4: Simplify right side
    3,542,838,281x = 57,934,097,515,024,769,024
  5. Step 5: Solve for x
    x = 57,934,097,515,024,769,024/3,542,838,281
  6. Step 6: Final answer
    x = 16,352,453,293.09

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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.