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Finding the Third Proportional to 6,984,549,201 and 15,321,322,170

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Solution

The third proportional to 6,984,549,201 and 15,321,322,170 is: 33,608,885,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,549,201 : 15,321,322,170 = 15,321,322,170 : x
  2. Step 2: Convert to fraction form
    6,984,549,201/15,321,322,170 = 15,321,322,170/x
  3. Step 3: Cross multiply
    6,984,549,201x = 15,321,322,170 × 15,321,322,170
  4. Step 4: Simplify right side
    6,984,549,201x = 234,742,913,036,933,496,832
  5. Step 5: Solve for x
    x = 234,742,913,036,933,496,832/6,984,549,201
  6. Step 6: Final answer
    x = 33,608,885,309.78

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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.