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Finding the Third Proportional to 3,936,642 and 6,428,133

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Solution

The third proportional to 3,936,642 and 6,428,133 is: 10,496,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936,642 : 6,428,133 = 6,428,133 : x
  2. Step 2: Convert to fraction form
    3,936,642/6,428,133 = 6,428,133/x
  3. Step 3: Cross multiply
    3,936,642x = 6,428,133 × 6,428,133
  4. Step 4: Simplify right side
    3,936,642x = 41,320,893,865,689
  5. Step 5: Solve for x
    x = 41,320,893,865,689/3,936,642
  6. Step 6: Final answer
    x = 10,496,482.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.