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Finding the Third Proportional to 2,825,106 and 6,178,360

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Solution

The third proportional to 2,825,106 and 6,178,360 is: 13,511,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825,106 : 6,178,360 = 6,178,360 : x
  2. Step 2: Convert to fraction form
    2,825,106/6,178,360 = 6,178,360/x
  3. Step 3: Cross multiply
    2,825,106x = 6,178,360 × 6,178,360
  4. Step 4: Simplify right side
    2,825,106x = 38,172,132,289,600
  5. Step 5: Solve for x
    x = 38,172,132,289,600/2,825,106
  6. Step 6: Final answer
    x = 13,511,752.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.