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Finding the Third Proportional to 291,235,383 and 623,923,163

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Solution

The third proportional to 291,235,383 and 623,923,163 is: 1,336,651,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,235,383 : 623,923,163 = 623,923,163 : x
  2. Step 2: Convert to fraction form
    291,235,383/623,923,163 = 623,923,163/x
  3. Step 3: Cross multiply
    291,235,383x = 623,923,163 × 623,923,163
  4. Step 4: Simplify right side
    291,235,383x = 389,280,113,327,924,544
  5. Step 5: Solve for x
    x = 389,280,113,327,924,544/291,235,383
  6. Step 6: Final answer
    x = 1,336,651,162.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.