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Finding the Third Proportional to 2,966,972 and 6,353,844

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Solution

The third proportional to 2,966,972 and 6,353,844 is: 13,606,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,972 : 6,353,844 = 6,353,844 : x
  2. Step 2: Convert to fraction form
    2,966,972/6,353,844 = 6,353,844/x
  3. Step 3: Cross multiply
    2,966,972x = 6,353,844 × 6,353,844
  4. Step 4: Simplify right side
    2,966,972x = 40,371,333,576,336
  5. Step 5: Solve for x
    x = 40,371,333,576,336/2,966,972
  6. Step 6: Final answer
    x = 13,606,914.25

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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.