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Finding the Third Proportional to 1,173,184,482 and 2,548,150,602

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Solution

The third proportional to 1,173,184,482 and 2,548,150,602 is: 5,534,569,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173,184,482 : 2,548,150,602 = 2,548,150,602 : x
  2. Step 2: Convert to fraction form
    1,173,184,482/2,548,150,602 = 2,548,150,602/x
  3. Step 3: Cross multiply
    1,173,184,482x = 2,548,150,602 × 2,548,150,602
  4. Step 4: Simplify right side
    1,173,184,482x = 6,493,071,490,472,962,048
  5. Step 5: Solve for x
    x = 6,493,071,490,472,962,048/1,173,184,482
  6. Step 6: Final answer
    x = 5,534,569,873.79

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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.