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Finding the Third Proportional to 2,960,820.75 and 6,362,046.75

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Solution

The third proportional to 2,960,820.75 and 6,362,046.75 is: 13,670,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,820.75 : 6,362,046.75 = 6,362,046.75 : x
  2. Step 2: Convert to fraction form
    2,960,820.75/6,362,046.75 = 6,362,046.75/x
  3. Step 3: Cross multiply
    2,960,820.75x = 6,362,046.75 × 6,362,046.75
  4. Step 4: Simplify right side
    2,960,820.75x = 40,475,638,849,185.56
  5. Step 5: Solve for x
    x = 40,475,638,849,185.56/2,960,820.75
  6. Step 6: Final answer
    x = 13,670,411.78

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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.