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Finding the Third Proportional to 5,824,987,422 and 12,837,292,776

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Solution

The third proportional to 5,824,987,422 and 12,837,292,776 is: 28,291,234,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,987,422 : 12,837,292,776 = 12,837,292,776 : x
  2. Step 2: Convert to fraction form
    5,824,987,422/12,837,292,776 = 12,837,292,776/x
  3. Step 3: Cross multiply
    5,824,987,422x = 12,837,292,776 × 12,837,292,776
  4. Step 4: Simplify right side
    5,824,987,422x = 164,796,085,816,741,789,696
  5. Step 5: Solve for x
    x = 164,796,085,816,741,789,696/5,824,987,422
  6. Step 6: Final answer
    x = 28,291,234,620.41

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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.