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Finding the Third Proportional to 22,463,522.50 and 32,100,954.50

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Solution

The third proportional to 22,463,522.50 and 32,100,954.50 is: 45,873,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463,522.50 : 32,100,954.50 = 32,100,954.50 : x
  2. Step 2: Convert to fraction form
    22,463,522.50/32,100,954.50 = 32,100,954.50/x
  3. Step 3: Cross multiply
    22,463,522.50x = 32,100,954.50 × 32,100,954.50
  4. Step 4: Simplify right side
    22,463,522.50x = 1,030,471,279,811,070.25
  5. Step 5: Solve for x
    x = 1,030,471,279,811,070.25/22,463,522.50
  6. Step 6: Final answer
    x = 45,873,094.03

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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.