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Finding the Third Proportional to 5,824,987,424 and 12,837,292,780

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Solution

The third proportional to 5,824,987,424 and 12,837,292,780 is: 28,291,234,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,987,424 : 12,837,292,780 = 12,837,292,780 : x
  2. Step 2: Convert to fraction form
    5,824,987,424/12,837,292,780 = 12,837,292,780/x
  3. Step 3: Cross multiply
    5,824,987,424x = 12,837,292,780 × 12,837,292,780
  4. Step 4: Simplify right side
    5,824,987,424x = 164,796,085,919,440,142,336
  5. Step 5: Solve for x
    x = 164,796,085,919,440,142,336/5,824,987,424
  6. Step 6: Final answer
    x = 28,291,234,628.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.