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Finding the Third Proportional to 582,191,364 and 1,262,613,200

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Solution

The third proportional to 582,191,364 and 1,262,613,200 is: 2,738,261,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,191,364 : 1,262,613,200 = 1,262,613,200 : x
  2. Step 2: Convert to fraction form
    582,191,364/1,262,613,200 = 1,262,613,200/x
  3. Step 3: Cross multiply
    582,191,364x = 1,262,613,200 × 1,262,613,200
  4. Step 4: Simplify right side
    582,191,364x = 1,594,192,092,814,240,000
  5. Step 5: Solve for x
    x = 1,594,192,092,814,240,000/582,191,364
  6. Step 6: Final answer
    x = 2,738,261,319.89

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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.