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Finding the Third Proportional to 237,596,032 and 378,065,760

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Solution

The third proportional to 237,596,032 and 378,065,760 is: 601,582,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,596,032 : 378,065,760 = 378,065,760 : x
  2. Step 2: Convert to fraction form
    237,596,032/378,065,760 = 378,065,760/x
  3. Step 3: Cross multiply
    237,596,032x = 378,065,760 × 378,065,760
  4. Step 4: Simplify right side
    237,596,032x = 142,933,718,884,377,600
  5. Step 5: Solve for x
    x = 142,933,718,884,377,600/237,596,032
  6. Step 6: Final answer
    x = 601,582,937.57

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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.