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Finding the Third Proportional to 24,883,824 and 35,583,911

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Solution

The third proportional to 24,883,824 and 35,583,911 is: 50,885,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883,824 : 35,583,911 = 35,583,911 : x
  2. Step 2: Convert to fraction form
    24,883,824/35,583,911 = 35,583,911/x
  3. Step 3: Cross multiply
    24,883,824x = 35,583,911 × 35,583,911
  4. Step 4: Simplify right side
    24,883,824x = 1,266,214,722,055,921
  5. Step 5: Solve for x
    x = 1,266,214,722,055,921/24,883,824
  6. Step 6: Final answer
    x = 50,885,053.76

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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.