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Finding the Third Proportional to 446,253,345 and 964,211,859

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Solution

The third proportional to 446,253,345 and 964,211,859 is: 2,083,355,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,253,345 : 964,211,859 = 964,211,859 : x
  2. Step 2: Convert to fraction form
    446,253,345/964,211,859 = 964,211,859/x
  3. Step 3: Cross multiply
    446,253,345x = 964,211,859 × 964,211,859
  4. Step 4: Simplify right side
    446,253,345x = 929,704,509,036,235,904
  5. Step 5: Solve for x
    x = 929,704,509,036,235,904/446,253,345
  6. Step 6: Final answer
    x = 2,083,355,832.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.