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Finding the Third Proportional to 14,458,203 and 19,275,448.50

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Solution

The third proportional to 14,458,203 and 19,275,448.50 is: 25,697,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458,203 : 19,275,448.50 = 19,275,448.50 : x
  2. Step 2: Convert to fraction form
    14,458,203/19,275,448.50 = 19,275,448.50/x
  3. Step 3: Cross multiply
    14,458,203x = 19,275,448.50 × 19,275,448.50
  4. Step 4: Simplify right side
    14,458,203x = 371,542,914,876,152.25
  5. Step 5: Solve for x
    x = 371,542,914,876,152.25/14,458,203
  6. Step 6: Final answer
    x = 25,697,724.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.