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Finding the Third Proportional to 3,880,653.75 and 8,163,482.63

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Solution

The third proportional to 3,880,653.75 and 8,163,482.63 is: 17,172,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,653.75 : 8,163,482.63 = 8,163,482.63 : x
  2. Step 2: Convert to fraction form
    3,880,653.75/8,163,482.63 = 8,163,482.63/x
  3. Step 3: Cross multiply
    3,880,653.75x = 8,163,482.63 × 8,163,482.63
  4. Step 4: Simplify right side
    3,880,653.75x = 66,642,448,568,676.89
  5. Step 5: Solve for x
    x = 66,642,448,568,676.89/3,880,653.75
  6. Step 6: Final answer
    x = 17,172,995.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.