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Finding the Third Proportional to 4,475,468 and 6,883,086

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Solution

The third proportional to 4,475,468 and 6,883,086 is: 10,585,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,468 : 6,883,086 = 6,883,086 : x
  2. Step 2: Convert to fraction form
    4,475,468/6,883,086 = 6,883,086/x
  3. Step 3: Cross multiply
    4,475,468x = 6,883,086 × 6,883,086
  4. Step 4: Simplify right side
    4,475,468x = 47,376,872,883,396
  5. Step 5: Solve for x
    x = 47,376,872,883,396/4,475,468
  6. Step 6: Final answer
    x = 10,585,903.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.