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Finding the Third Proportional to 24,771,060 and 51,800,744.25

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Solution

The third proportional to 24,771,060 and 51,800,744.25 is: 108,324,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771,060 : 51,800,744.25 = 51,800,744.25 : x
  2. Step 2: Convert to fraction form
    24,771,060/51,800,744.25 = 51,800,744.25/x
  3. Step 3: Cross multiply
    24,771,060x = 51,800,744.25 × 51,800,744.25
  4. Step 4: Simplify right side
    24,771,060x = 2,683,317,104,853,908
  5. Step 5: Solve for x
    x = 2,683,317,104,853,908/24,771,060
  6. Step 6: Final answer
    x = 108,324,678.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.