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Finding the Third Proportional to 363,260,483,049.75 and 778,335,113,447.60

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Solution

The third proportional to 363,260,483,049.75 and 778,335,113,447.60 is: 1,667,689,102,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,260,483,049.75 : 778,335,113,447.60 = 778,335,113,447.60 : x
  2. Step 2: Convert to fraction form
    363,260,483,049.75/778,335,113,447.60 = 778,335,113,447.60/x
  3. Step 3: Cross multiply
    363,260,483,049.75x = 778,335,113,447.60 × 778,335,113,447.60
  4. Step 4: Simplify right side
    363,260,483,049.75x = 605,805,548,825,488,310,403,072
  5. Step 5: Solve for x
    x = 605,805,548,825,488,310,403,072/363,260,483,049.75
  6. Step 6: Final answer
    x = 1,667,689,102,154.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.