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Finding the Third Proportional to 5,924,071,032 and 12,338,473,824

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Solution

The third proportional to 5,924,071,032 and 12,338,473,824 is: 25,698,195,629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924,071,032 : 12,338,473,824 = 12,338,473,824 : x
  2. Step 2: Convert to fraction form
    5,924,071,032/12,338,473,824 = 12,338,473,824/x
  3. Step 3: Cross multiply
    5,924,071,032x = 12,338,473,824 × 12,338,473,824
  4. Step 4: Simplify right side
    5,924,071,032x = 152,237,936,305,533,190,144
  5. Step 5: Solve for x
    x = 152,237,936,305,533,190,144/5,924,071,032
  6. Step 6: Final answer
    x = 25,698,195,629.86

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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.