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Finding the Third Proportional to 375,962,067 and 574,749,978.75

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Solution

The third proportional to 375,962,067 and 574,749,978.75 is: 878,645,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,962,067 : 574,749,978.75 = 574,749,978.75 : x
  2. Step 2: Convert to fraction form
    375,962,067/574,749,978.75 = 574,749,978.75/x
  3. Step 3: Cross multiply
    375,962,067x = 574,749,978.75 × 574,749,978.75
  4. Step 4: Simplify right side
    375,962,067x = 330,337,538,073,125,440
  5. Step 5: Solve for x
    x = 330,337,538,073,125,440/375,962,067
  6. Step 6: Final answer
    x = 878,645,924.86

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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.