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Finding the Third Proportional to 1,241,191,269 and 2,670,691,500

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Solution

The third proportional to 1,241,191,269 and 2,670,691,500 is: 5,746,570,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,191,269 : 2,670,691,500 = 2,670,691,500 : x
  2. Step 2: Convert to fraction form
    1,241,191,269/2,670,691,500 = 2,670,691,500/x
  3. Step 3: Cross multiply
    1,241,191,269x = 2,670,691,500 × 2,670,691,500
  4. Step 4: Simplify right side
    1,241,191,269x = 7,132,593,088,172,250,112
  5. Step 5: Solve for x
    x = 7,132,593,088,172,250,112/1,241,191,269
  6. Step 6: Final answer
    x = 5,746,570,465.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.