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Finding the Third Proportional to 2,966,016 and 6,475,704

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Solution

The third proportional to 2,966,016 and 6,475,704 is: 14,138,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,016 : 6,475,704 = 6,475,704 : x
  2. Step 2: Convert to fraction form
    2,966,016/6,475,704 = 6,475,704/x
  3. Step 3: Cross multiply
    2,966,016x = 6,475,704 × 6,475,704
  4. Step 4: Simplify right side
    2,966,016x = 41,934,742,295,616
  5. Step 5: Solve for x
    x = 41,934,742,295,616/2,966,016
  6. Step 6: Final answer
    x = 14,138,407.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.