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Finding the Third Proportional to 2,483,367,312 and 5,407,633,824

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Solution

The third proportional to 2,483,367,312 and 5,407,633,824 is: 11,775,343,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483,367,312 : 5,407,633,824 = 5,407,633,824 : x
  2. Step 2: Convert to fraction form
    2,483,367,312/5,407,633,824 = 5,407,633,824/x
  3. Step 3: Cross multiply
    2,483,367,312x = 5,407,633,824 × 5,407,633,824
  4. Step 4: Simplify right side
    2,483,367,312x = 29,242,503,574,468,861,952
  5. Step 5: Solve for x
    x = 29,242,503,574,468,861,952/2,483,367,312
  6. Step 6: Final answer
    x = 11,775,343,676.78

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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.