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Finding the Third Proportional to 15,576,420 and 34,089,216

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Solution

The third proportional to 15,576,420 and 34,089,216 is: 74,604,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,576,420 : 34,089,216 = 34,089,216 : x
  2. Step 2: Convert to fraction form
    15,576,420/34,089,216 = 34,089,216/x
  3. Step 3: Cross multiply
    15,576,420x = 34,089,216 × 34,089,216
  4. Step 4: Simplify right side
    15,576,420x = 1,162,074,647,494,656
  5. Step 5: Solve for x
    x = 1,162,074,647,494,656/15,576,420
  6. Step 6: Final answer
    x = 74,604,732.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.