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Finding the Third Proportional to 17,968,224.94 and 39,084,674.34

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Solution

The third proportional to 17,968,224.94 and 39,084,674.34 is: 85,017,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,968,224.94 : 39,084,674.34 = 39,084,674.34 : x
  2. Step 2: Convert to fraction form
    17,968,224.94/39,084,674.34 = 39,084,674.34/x
  3. Step 3: Cross multiply
    17,968,224.94x = 39,084,674.34 × 39,084,674.34
  4. Step 4: Simplify right side
    17,968,224.94x = 1,527,611,768,556,989.50
  5. Step 5: Solve for x
    x = 1,527,611,768,556,989.50/17,968,224.94
  6. Step 6: Final answer
    x = 85,017,400.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.