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Finding the Third Proportional to 12,551,346 and 19,380,633.75

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Solution

The third proportional to 12,551,346 and 19,380,633.75 is: 29,925,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551,346 : 19,380,633.75 = 19,380,633.75 : x
  2. Step 2: Convert to fraction form
    12,551,346/19,380,633.75 = 19,380,633.75/x
  3. Step 3: Cross multiply
    12,551,346x = 19,380,633.75 × 19,380,633.75
  4. Step 4: Simplify right side
    12,551,346x = 375,608,964,551,639.06
  5. Step 5: Solve for x
    x = 375,608,964,551,639.06/12,551,346
  6. Step 6: Final answer
    x = 29,925,791.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.