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Finding the Third Proportional to 2,483,367,308 and 5,407,633,816

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Solution

The third proportional to 2,483,367,308 and 5,407,633,816 is: 11,775,343,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483,367,308 : 5,407,633,816 = 5,407,633,816 : x
  2. Step 2: Convert to fraction form
    2,483,367,308/5,407,633,816 = 5,407,633,816/x
  3. Step 3: Cross multiply
    2,483,367,308x = 5,407,633,816 × 5,407,633,816
  4. Step 4: Simplify right side
    2,483,367,308x = 29,242,503,487,946,723,328
  5. Step 5: Solve for x
    x = 29,242,503,487,946,723,328/2,483,367,308
  6. Step 6: Final answer
    x = 11,775,343,660.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.