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Finding the Third Proportional to 2,966,622 and 6,353,148

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Solution

The third proportional to 2,966,622 and 6,353,148 is: 13,605,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,622 : 6,353,148 = 6,353,148 : x
  2. Step 2: Convert to fraction form
    2,966,622/6,353,148 = 6,353,148/x
  3. Step 3: Cross multiply
    2,966,622x = 6,353,148 × 6,353,148
  4. Step 4: Simplify right side
    2,966,622x = 40,362,489,509,904
  5. Step 5: Solve for x
    x = 40,362,489,509,904/2,966,622
  6. Step 6: Final answer
    x = 13,605,538.39

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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.