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Finding the Third Proportional to 3,071,784 and 6,825,360

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Solution

The third proportional to 3,071,784 and 6,825,360 is: 15,165,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071,784 : 6,825,360 = 6,825,360 : x
  2. Step 2: Convert to fraction form
    3,071,784/6,825,360 = 6,825,360/x
  3. Step 3: Cross multiply
    3,071,784x = 6,825,360 × 6,825,360
  4. Step 4: Simplify right side
    3,071,784x = 46,585,539,129,600
  5. Step 5: Solve for x
    x = 46,585,539,129,600/3,071,784
  6. Step 6: Final answer
    x = 15,165,629.85

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.