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Finding the Third Proportional to 237,464,827 and 363,259,306

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Solution

The third proportional to 237,464,827 and 363,259,306 is: 555,692,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,464,827 : 363,259,306 = 363,259,306 : x
  2. Step 2: Convert to fraction form
    237,464,827/363,259,306 = 363,259,306/x
  3. Step 3: Cross multiply
    237,464,827x = 363,259,306 × 363,259,306
  4. Step 4: Simplify right side
    237,464,827x = 131,957,323,395,601,632
  5. Step 5: Solve for x
    x = 131,957,323,395,601,632/237,464,827
  6. Step 6: Final answer
    x = 555,692,078.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.