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Finding the Third Proportional to 19,619,124.75 and 45,824,543.44

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Solution

The third proportional to 19,619,124.75 and 45,824,543.44 is: 107,032,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619,124.75 : 45,824,543.44 = 45,824,543.44 : x
  2. Step 2: Convert to fraction form
    19,619,124.75/45,824,543.44 = 45,824,543.44/x
  3. Step 3: Cross multiply
    19,619,124.75x = 45,824,543.44 × 45,824,543.44
  4. Step 4: Simplify right side
    19,619,124.75x = 2,099,888,781,255,324.25
  5. Step 5: Solve for x
    x = 2,099,888,781,255,324.25/19,619,124.75
  6. Step 6: Final answer
    x = 107,032,745.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.