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Finding the Third Proportional to 15,280,978 and 23,118,324

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Solution

The third proportional to 15,280,978 and 23,118,324 is: 34,975,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,280,978 : 23,118,324 = 23,118,324 : x
  2. Step 2: Convert to fraction form
    15,280,978/23,118,324 = 23,118,324/x
  3. Step 3: Cross multiply
    15,280,978x = 23,118,324 × 23,118,324
  4. Step 4: Simplify right side
    15,280,978x = 534,456,904,568,976
  5. Step 5: Solve for x
    x = 534,456,904,568,976/15,280,978
  6. Step 6: Final answer
    x = 34,975,307.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.