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Finding the Third Proportional to 253,021,656 and 382,228,326

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Solution

The third proportional to 253,021,656 and 382,228,326 is: 577,414,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,021,656 : 382,228,326 = 382,228,326 : x
  2. Step 2: Convert to fraction form
    253,021,656/382,228,326 = 382,228,326/x
  3. Step 3: Cross multiply
    253,021,656x = 382,228,326 × 382,228,326
  4. Step 4: Simplify right side
    253,021,656x = 146,098,493,196,762,272
  5. Step 5: Solve for x
    x = 146,098,493,196,762,272/253,021,656
  6. Step 6: Final answer
    x = 577,414,975.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.