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Finding the Third Proportional to 7,824,026 and 16,804,976

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Solution

The third proportional to 7,824,026 and 16,804,976 is: 36,094,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,026 : 16,804,976 = 16,804,976 : x
  2. Step 2: Convert to fraction form
    7,824,026/16,804,976 = 16,804,976/x
  3. Step 3: Cross multiply
    7,824,026x = 16,804,976 × 16,804,976
  4. Step 4: Simplify right side
    7,824,026x = 282,407,218,360,576
  5. Step 5: Solve for x
    x = 282,407,218,360,576/7,824,026
  6. Step 6: Final answer
    x = 36,094,872.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.