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Finding the Third Proportional to 2,963,063 and 6,464,564

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Solution

The third proportional to 2,963,063 and 6,464,564 is: 14,103,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963,063 : 6,464,564 = 6,464,564 : x
  2. Step 2: Convert to fraction form
    2,963,063/6,464,564 = 6,464,564/x
  3. Step 3: Cross multiply
    2,963,063x = 6,464,564 × 6,464,564
  4. Step 4: Simplify right side
    2,963,063x = 41,790,587,710,096
  5. Step 5: Solve for x
    x = 41,790,587,710,096/2,963,063
  6. Step 6: Final answer
    x = 14,103,847.17

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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.