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Finding the Third Proportional to 24,180,030 and 51,089,220

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Solution

The third proportional to 24,180,030 and 51,089,220 is: 107,944,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180,030 : 51,089,220 = 51,089,220 : x
  2. Step 2: Convert to fraction form
    24,180,030/51,089,220 = 51,089,220/x
  3. Step 3: Cross multiply
    24,180,030x = 51,089,220 × 51,089,220
  4. Step 4: Simplify right side
    24,180,030x = 2,610,108,400,208,400
  5. Step 5: Solve for x
    x = 2,610,108,400,208,400/24,180,030
  6. Step 6: Final answer
    x = 107,944,795.78

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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.