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Finding the Third Proportional to 22,743,814 and 32,523,922.50

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Solution

The third proportional to 22,743,814 and 32,523,922.50 is: 46,509,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743,814 : 32,523,922.50 = 32,523,922.50 : x
  2. Step 2: Convert to fraction form
    22,743,814/32,523,922.50 = 32,523,922.50/x
  3. Step 3: Cross multiply
    22,743,814x = 32,523,922.50 × 32,523,922.50
  4. Step 4: Simplify right side
    22,743,814x = 1,057,805,534,786,006.25
  5. Step 5: Solve for x
    x = 1,057,805,534,786,006.25/22,743,814
  6. Step 6: Final answer
    x = 46,509,593.10

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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.