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Finding the Third Proportional to 22,743,813 and 32,523,920.50

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Solution

The third proportional to 22,743,813 and 32,523,920.50 is: 46,509,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743,813 : 32,523,920.50 = 32,523,920.50 : x
  2. Step 2: Convert to fraction form
    22,743,813/32,523,920.50 = 32,523,920.50/x
  3. Step 3: Cross multiply
    22,743,813x = 32,523,920.50 × 32,523,920.50
  4. Step 4: Simplify right side
    22,743,813x = 1,057,805,404,690,320.25
  5. Step 5: Solve for x
    x = 1,057,805,404,690,320.25/22,743,813
  6. Step 6: Final answer
    x = 46,509,589.43

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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.