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Finding the Third Proportional to 266,144,986 and 582,461,148

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Solution

The third proportional to 266,144,986 and 582,461,148 is: 1,274,722,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,144,986 : 582,461,148 = 582,461,148 : x
  2. Step 2: Convert to fraction form
    266,144,986/582,461,148 = 582,461,148/x
  3. Step 3: Cross multiply
    266,144,986x = 582,461,148 × 582,461,148
  4. Step 4: Simplify right side
    266,144,986x = 339,260,988,929,477,888
  5. Step 5: Solve for x
    x = 339,260,988,929,477,888/266,144,986
  6. Step 6: Final answer
    x = 1,274,722,451.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.