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Finding the Third Proportional to 1,173,184,765 and 2,548,151,080

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Solution

The third proportional to 1,173,184,765 and 2,548,151,080 is: 5,534,570,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173,184,765 : 2,548,151,080 = 2,548,151,080 : x
  2. Step 2: Convert to fraction form
    1,173,184,765/2,548,151,080 = 2,548,151,080/x
  3. Step 3: Cross multiply
    1,173,184,765x = 2,548,151,080 × 2,548,151,080
  4. Step 4: Simplify right side
    1,173,184,765x = 6,493,073,926,505,166,848
  5. Step 5: Solve for x
    x = 6,493,073,926,505,166,848/1,173,184,765
  6. Step 6: Final answer
    x = 5,534,570,615.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.