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Finding the Third Proportional to 237,596,414 and 378,066,333

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Solution

The third proportional to 237,596,414 and 378,066,333 is: 601,583,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,596,414 : 378,066,333 = 378,066,333 : x
  2. Step 2: Convert to fraction form
    237,596,414/378,066,333 = 378,066,333/x
  3. Step 3: Cross multiply
    237,596,414x = 378,066,333 × 378,066,333
  4. Step 4: Simplify right side
    237,596,414x = 142,934,152,148,066,896
  5. Step 5: Solve for x
    x = 142,934,152,148,066,896/237,596,414
  6. Step 6: Final answer
    x = 601,583,793.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.