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Finding the Third Proportional to 6,405,665,400 and 13,794,217,200

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Solution

The third proportional to 6,405,665,400 and 13,794,217,200 is: 29,705,021,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405,665,400 : 13,794,217,200 = 13,794,217,200 : x
  2. Step 2: Convert to fraction form
    6,405,665,400/13,794,217,200 = 13,794,217,200/x
  3. Step 3: Cross multiply
    6,405,665,400x = 13,794,217,200 × 13,794,217,200
  4. Step 4: Simplify right side
    6,405,665,400x = 190,280,428,160,775,847,936
  5. Step 5: Solve for x
    x = 190,280,428,160,775,847,936/6,405,665,400
  6. Step 6: Final answer
    x = 29,705,021,458.16

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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.