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Finding the Third Proportional to 6,844,024 and 10,596,084

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Solution

The third proportional to 6,844,024 and 10,596,084 is: 16,405,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844,024 : 10,596,084 = 10,596,084 : x
  2. Step 2: Convert to fraction form
    6,844,024/10,596,084 = 10,596,084/x
  3. Step 3: Cross multiply
    6,844,024x = 10,596,084 × 10,596,084
  4. Step 4: Simplify right side
    6,844,024x = 112,276,996,135,056
  5. Step 5: Solve for x
    x = 112,276,996,135,056/6,844,024
  6. Step 6: Final answer
    x = 16,405,114.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.