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Finding the Third Proportional to 7,089,309 and 15,187,371

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Solution

The third proportional to 7,089,309 and 15,187,371 is: 32,535,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089,309 : 15,187,371 = 15,187,371 : x
  2. Step 2: Convert to fraction form
    7,089,309/15,187,371 = 15,187,371/x
  3. Step 3: Cross multiply
    7,089,309x = 15,187,371 × 15,187,371
  4. Step 4: Simplify right side
    7,089,309x = 230,656,237,891,641
  5. Step 5: Solve for x
    x = 230,656,237,891,641/7,089,309
  6. Step 6: Final answer
    x = 32,535,785.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.