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Finding the Third Proportional to 20,555,739.50 and 45,707,417

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Solution

The third proportional to 20,555,739.50 and 45,707,417 is: 101,634,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,555,739.50 : 45,707,417 = 45,707,417 : x
  2. Step 2: Convert to fraction form
    20,555,739.50/45,707,417 = 45,707,417/x
  3. Step 3: Cross multiply
    20,555,739.50x = 45,707,417 × 45,707,417
  4. Step 4: Simplify right side
    20,555,739.50x = 2,089,167,968,811,889
  5. Step 5: Solve for x
    x = 2,089,167,968,811,889/20,555,739.50
  6. Step 6: Final answer
    x = 101,634,288.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.