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Finding the Third Proportional to 19,967,563.50 and 28,534,168.50

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Solution

The third proportional to 19,967,563.50 and 28,534,168.50 is: 40,776,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967,563.50 : 28,534,168.50 = 28,534,168.50 : x
  2. Step 2: Convert to fraction form
    19,967,563.50/28,534,168.50 = 28,534,168.50/x
  3. Step 3: Cross multiply
    19,967,563.50x = 28,534,168.50 × 28,534,168.50
  4. Step 4: Simplify right side
    19,967,563.50x = 814,198,771,986,392.25
  5. Step 5: Solve for x
    x = 814,198,771,986,392.25/19,967,563.50
  6. Step 6: Final answer
    x = 40,776,070.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.