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Finding the Third Proportional to 22,743,812 and 32,523,919

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Solution

The third proportional to 22,743,812 and 32,523,919 is: 46,509,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743,812 : 32,523,919 = 32,523,919 : x
  2. Step 2: Convert to fraction form
    22,743,812/32,523,919 = 32,523,919/x
  3. Step 3: Cross multiply
    22,743,812x = 32,523,919 × 32,523,919
  4. Step 4: Simplify right side
    22,743,812x = 1,057,805,307,118,561
  5. Step 5: Solve for x
    x = 1,057,805,307,118,561/22,743,812
  6. Step 6: Final answer
    x = 46,509,587.18

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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.