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Finding the Third Proportional to 6,625,209,314 and 14,181,089,188

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Solution

The third proportional to 6,625,209,314 and 14,181,089,188 is: 30,354,254,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625,209,314 : 14,181,089,188 = 14,181,089,188 : x
  2. Step 2: Convert to fraction form
    6,625,209,314/14,181,089,188 = 14,181,089,188/x
  3. Step 3: Cross multiply
    6,625,209,314x = 14,181,089,188 × 14,181,089,188
  4. Step 4: Simplify right side
    6,625,209,314x = 201,103,290,558,010,490,880
  5. Step 5: Solve for x
    x = 201,103,290,558,010,490,880/6,625,209,314
  6. Step 6: Final answer
    x = 30,354,254,639.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.