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Finding the Third Proportional to 24,180,021 and 51,089,202

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Solution

The third proportional to 24,180,021 and 51,089,202 is: 107,944,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180,021 : 51,089,202 = 51,089,202 : x
  2. Step 2: Convert to fraction form
    24,180,021/51,089,202 = 51,089,202/x
  3. Step 3: Cross multiply
    24,180,021x = 51,089,202 × 51,089,202
  4. Step 4: Simplify right side
    24,180,021x = 2,610,106,560,996,804
  5. Step 5: Solve for x
    x = 2,610,106,560,996,804/24,180,021
  6. Step 6: Final answer
    x = 107,944,759.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.