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Finding the Third Proportional to 894,901,603.78 and 1,815,320,218.01

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Solution

The third proportional to 894,901,603.78 and 1,815,320,218.01 is: 3,682,402,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,901,603.78 : 1,815,320,218.01 = 1,815,320,218.01 : x
  2. Step 2: Convert to fraction form
    894,901,603.78/1,815,320,218.01 = 1,815,320,218.01/x
  3. Step 3: Cross multiply
    894,901,603.78x = 1,815,320,218.01 × 1,815,320,218.01
  4. Step 4: Simplify right side
    894,901,603.78x = 3,295,387,493,907,887,104
  5. Step 5: Solve for x
    x = 3,295,387,493,907,887,104/894,901,603.78
  6. Step 6: Final answer
    x = 3,682,402,042.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.