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Finding the Third Proportional to 2,725,841,894.25 and 5,929,279,494.75

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Solution

The third proportional to 2,725,841,894.25 and 5,929,279,494.75 is: 12,897,430,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,841,894.25 : 5,929,279,494.75 = 5,929,279,494.75 : x
  2. Step 2: Convert to fraction form
    2,725,841,894.25/5,929,279,494.75 = 5,929,279,494.75/x
  3. Step 3: Cross multiply
    2,725,841,894.25x = 5,929,279,494.75 × 5,929,279,494.75
  4. Step 4: Simplify right side
    2,725,841,894.25x = 35,156,355,326,862,815,232
  5. Step 5: Solve for x
    x = 35,156,355,326,862,815,232/2,725,841,894.25
  6. Step 6: Final answer
    x = 12,897,430,111.78

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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.