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Finding the Third Proportional to 296,622,066 and 434,314,515

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Solution

The third proportional to 296,622,066 and 434,314,515 is: 635,924,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,622,066 : 434,314,515 = 434,314,515 : x
  2. Step 2: Convert to fraction form
    296,622,066/434,314,515 = 434,314,515/x
  3. Step 3: Cross multiply
    296,622,066x = 434,314,515 × 434,314,515
  4. Step 4: Simplify right side
    296,622,066x = 188,629,097,939,685,216
  5. Step 5: Solve for x
    x = 188,629,097,939,685,216/296,622,066
  6. Step 6: Final answer
    x = 635,924,024.41

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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.