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Finding the Third Proportional to 299,549,338,100 and 641,512,273,822

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Solution

The third proportional to 299,549,338,100 and 641,512,273,822 is: 1,373,857,141,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,549,338,100 : 641,512,273,822 = 641,512,273,822 : x
  2. Step 2: Convert to fraction form
    299,549,338,100/641,512,273,822 = 641,512,273,822/x
  3. Step 3: Cross multiply
    299,549,338,100x = 641,512,273,822 × 641,512,273,822
  4. Step 4: Simplify right side
    299,549,338,100x = 411,537,997,464,272,732,422,144
  5. Step 5: Solve for x
    x = 411,537,997,464,272,732,422,144/299,549,338,100
  6. Step 6: Final answer
    x = 1,373,857,141,780.39

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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.