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Finding the Third Proportional to 7,692,738 and 16,452,732

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Solution

The third proportional to 7,692,738 and 16,452,732 is: 35,188,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,738 : 16,452,732 = 16,452,732 : x
  2. Step 2: Convert to fraction form
    7,692,738/16,452,732 = 16,452,732/x
  3. Step 3: Cross multiply
    7,692,738x = 16,452,732 × 16,452,732
  4. Step 4: Simplify right side
    7,692,738x = 270,692,390,263,824
  5. Step 5: Solve for x
    x = 270,692,390,263,824/7,692,738
  6. Step 6: Final answer
    x = 35,188,042.32

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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.