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Finding the Third Proportional to 6,310,092 and 13,814,280

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Solution

The third proportional to 6,310,092 and 13,814,280 is: 30,242,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,092 : 13,814,280 = 13,814,280 : x
  2. Step 2: Convert to fraction form
    6,310,092/13,814,280 = 13,814,280/x
  3. Step 3: Cross multiply
    6,310,092x = 13,814,280 × 13,814,280
  4. Step 4: Simplify right side
    6,310,092x = 190,834,331,918,400
  5. Step 5: Solve for x
    x = 190,834,331,918,400/6,310,092
  6. Step 6: Final answer
    x = 30,242,717.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.