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Finding the Third Proportional to 19,947,809.50 and 30,323,919.75

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Solution

The third proportional to 19,947,809.50 and 30,323,919.75 is: 46,097,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947,809.50 : 30,323,919.75 = 30,323,919.75 : x
  2. Step 2: Convert to fraction form
    19,947,809.50/30,323,919.75 = 30,323,919.75/x
  3. Step 3: Cross multiply
    19,947,809.50x = 30,323,919.75 × 30,323,919.75
  4. Step 4: Simplify right side
    19,947,809.50x = 919,540,109,004,440
  5. Step 5: Solve for x
    x = 919,540,109,004,440/19,947,809.50
  6. Step 6: Final answer
    x = 46,097,297.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.