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Finding the Third Proportional to 24,015,711 and 51,678,783

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Solution

The third proportional to 24,015,711 and 51,678,783 is: 111,206,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015,711 : 51,678,783 = 51,678,783 : x
  2. Step 2: Convert to fraction form
    24,015,711/51,678,783 = 51,678,783/x
  3. Step 3: Cross multiply
    24,015,711x = 51,678,783 × 51,678,783
  4. Step 4: Simplify right side
    24,015,711x = 2,670,696,612,361,089
  5. Step 5: Solve for x
    x = 2,670,696,612,361,089/24,015,711
  6. Step 6: Final answer
    x = 111,206,227.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.