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Finding the Third Proportional to 7,692,205 and 16,414,083

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Solution

The third proportional to 7,692,205 and 16,414,083 is: 35,025,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,205 : 16,414,083 = 16,414,083 : x
  2. Step 2: Convert to fraction form
    7,692,205/16,414,083 = 16,414,083/x
  3. Step 3: Cross multiply
    7,692,205x = 16,414,083 × 16,414,083
  4. Step 4: Simplify right side
    7,692,205x = 269,422,120,730,889
  5. Step 5: Solve for x
    x = 269,422,120,730,889/7,692,205
  6. Step 6: Final answer
    x = 35,025,343.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.