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Finding the Third Proportional to 921,122,118 and 2,174,456,826

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Solution

The third proportional to 921,122,118 and 2,174,456,826 is: 5,133,154,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,122,118 : 2,174,456,826 = 2,174,456,826 : x
  2. Step 2: Convert to fraction form
    921,122,118/2,174,456,826 = 2,174,456,826/x
  3. Step 3: Cross multiply
    921,122,118x = 2,174,456,826 × 2,174,456,826
  4. Step 4: Simplify right side
    921,122,118x = 4,728,262,488,137,994,240
  5. Step 5: Solve for x
    x = 4,728,262,488,137,994,240/921,122,118
  6. Step 6: Final answer
    x = 5,133,154,872.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.