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Finding the Third Proportional to 683,223,635,569 and 1,422,997,287,918

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Solution

The third proportional to 683,223,635,569 and 1,422,997,287,918 is: 2,963,775,220,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,223,635,569 : 1,422,997,287,918 = 1,422,997,287,918 : x
  2. Step 2: Convert to fraction form
    683,223,635,569/1,422,997,287,918 = 1,422,997,287,918/x
  3. Step 3: Cross multiply
    683,223,635,569x = 1,422,997,287,918 × 1,422,997,287,918
  4. Step 4: Simplify right side
    683,223,635,569x = 2,024,921,281,421,983,394,824,192
  5. Step 5: Solve for x
    x = 2,024,921,281,421,983,394,824,192/683,223,635,569
  6. Step 6: Final answer
    x = 2,963,775,220,884.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.