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Finding the Third Proportional to 5,824,987,294 and 12,837,292,514

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Solution

The third proportional to 5,824,987,294 and 12,837,292,514 is: 28,291,234,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,987,294 : 12,837,292,514 = 12,837,292,514 : x
  2. Step 2: Convert to fraction form
    5,824,987,294/12,837,292,514 = 12,837,292,514/x
  3. Step 3: Cross multiply
    5,824,987,294x = 12,837,292,514 × 12,837,292,514
  4. Step 4: Simplify right side
    5,824,987,294x = 164,796,079,090,000,429,056
  5. Step 5: Solve for x
    x = 164,796,079,090,000,429,056/5,824,987,294
  6. Step 6: Final answer
    x = 28,291,234,087.28

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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.