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Finding the Third Proportional to 296,622,064 and 434,314,512

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Solution

The third proportional to 296,622,064 and 434,314,512 is: 635,924,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,622,064 : 434,314,512 = 434,314,512 : x
  2. Step 2: Convert to fraction form
    296,622,064/434,314,512 = 434,314,512/x
  3. Step 3: Cross multiply
    296,622,064x = 434,314,512 × 434,314,512
  4. Step 4: Simplify right side
    296,622,064x = 188,629,095,333,798,144
  5. Step 5: Solve for x
    x = 188,629,095,333,798,144/296,622,064
  6. Step 6: Final answer
    x = 635,924,019.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.