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Finding the Third Proportional to 884,022,241.08 and 1,473,281,611.24

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Solution

The third proportional to 884,022,241.08 and 1,473,281,611.24 is: 2,455,321,376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,022,241.08 : 1,473,281,611.24 = 1,473,281,611.24 : x
  2. Step 2: Convert to fraction form
    884,022,241.08/1,473,281,611.24 = 1,473,281,611.24/x
  3. Step 3: Cross multiply
    884,022,241.08x = 1,473,281,611.24 × 1,473,281,611.24
  4. Step 4: Simplify right side
    884,022,241.08x = 2,170,558,706,024,412,672
  5. Step 5: Solve for x
    x = 2,170,558,706,024,412,672/884,022,241.08
  6. Step 6: Final answer
    x = 2,455,321,376.73

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.