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Finding the Third Proportional to 17,731,801.50 and 38,477,657.25

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Solution

The third proportional to 17,731,801.50 and 38,477,657.25 is: 83,495,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731,801.50 : 38,477,657.25 = 38,477,657.25 : x
  2. Step 2: Convert to fraction form
    17,731,801.50/38,477,657.25 = 38,477,657.25/x
  3. Step 3: Cross multiply
    17,731,801.50x = 38,477,657.25 × 38,477,657.25
  4. Step 4: Simplify right side
    17,731,801.50x = 1,480,530,107,448,477.50
  5. Step 5: Solve for x
    x = 1,480,530,107,448,477.50/17,731,801.50
  6. Step 6: Final answer
    x = 83,495,752.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.