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Finding the Third Proportional to 182,694,466 and 426,301,810.75

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Solution

The third proportional to 182,694,466 and 426,301,810.75 is: 994,738,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,694,466 : 426,301,810.75 = 426,301,810.75 : x
  2. Step 2: Convert to fraction form
    182,694,466/426,301,810.75 = 426,301,810.75/x
  3. Step 3: Cross multiply
    182,694,466x = 426,301,810.75 × 426,301,810.75
  4. Step 4: Simplify right side
    182,694,466x = 181,733,233,848,728,800
  5. Step 5: Solve for x
    x = 181,733,233,848,728,800/182,694,466
  6. Step 6: Final answer
    x = 994,738,580.91

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.