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Finding the Third Proportional to 264,748,052 and 408,287,439

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Solution

The third proportional to 264,748,052 and 408,287,439 is: 629,650,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,748,052 : 408,287,439 = 408,287,439 : x
  2. Step 2: Convert to fraction form
    264,748,052/408,287,439 = 408,287,439/x
  3. Step 3: Cross multiply
    264,748,052x = 408,287,439 × 408,287,439
  4. Step 4: Simplify right side
    264,748,052x = 166,698,632,845,178,720
  5. Step 5: Solve for x
    x = 166,698,632,845,178,720/264,748,052
  6. Step 6: Final answer
    x = 629,650,082.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.