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Finding the Third Proportional to 233,720,514 and 364,729,779

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Solution

The third proportional to 233,720,514 and 364,729,779 is: 569,174,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,720,514 : 364,729,779 = 364,729,779 : x
  2. Step 2: Convert to fraction form
    233,720,514/364,729,779 = 364,729,779/x
  3. Step 3: Cross multiply
    233,720,514x = 364,729,779 × 364,729,779
  4. Step 4: Simplify right side
    233,720,514x = 133,027,811,689,388,848
  5. Step 5: Solve for x
    x = 133,027,811,689,388,848/233,720,514
  6. Step 6: Final answer
    x = 569,174,735.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.