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Finding the Third Proportional to 24,001,878 and 51,756,752

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Solution

The third proportional to 24,001,878 and 51,756,752 is: 111,606,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,001,878 : 51,756,752 = 51,756,752 : x
  2. Step 2: Convert to fraction form
    24,001,878/51,756,752 = 51,756,752/x
  3. Step 3: Cross multiply
    24,001,878x = 51,756,752 × 51,756,752
  4. Step 4: Simplify right side
    24,001,878x = 2,678,761,377,589,504
  5. Step 5: Solve for x
    x = 2,678,761,377,589,504/24,001,878
  6. Step 6: Final answer
    x = 111,606,324.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.