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Finding the Third Proportional to 6,542,908 and 9,932,084

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Solution

The third proportional to 6,542,908 and 9,932,084 is: 15,076,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542,908 : 9,932,084 = 9,932,084 : x
  2. Step 2: Convert to fraction form
    6,542,908/9,932,084 = 9,932,084/x
  3. Step 3: Cross multiply
    6,542,908x = 9,932,084 × 9,932,084
  4. Step 4: Simplify right side
    6,542,908x = 98,646,292,583,056
  5. Step 5: Solve for x
    x = 98,646,292,583,056/6,542,908
  6. Step 6: Final answer
    x = 15,076,827.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.