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Finding the Third Proportional to 6,787,946,344 and 14,613,300,188

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Solution

The third proportional to 6,787,946,344 and 14,613,300,188 is: 31,459,963,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,946,344 : 14,613,300,188 = 14,613,300,188 : x
  2. Step 2: Convert to fraction form
    6,787,946,344/14,613,300,188 = 14,613,300,188/x
  3. Step 3: Cross multiply
    6,787,946,344x = 14,613,300,188 × 14,613,300,188
  4. Step 4: Simplify right side
    6,787,946,344x = 213,548,542,384,600,842,240
  5. Step 5: Solve for x
    x = 213,548,542,384,600,842,240/6,787,946,344
  6. Step 6: Final answer
    x = 31,459,963,229.29

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