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Finding the Third Proportional to 7,468,275 and 16,382,310

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Solution

The third proportional to 7,468,275 and 16,382,310 is: 35,936,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468,275 : 16,382,310 = 16,382,310 : x
  2. Step 2: Convert to fraction form
    7,468,275/16,382,310 = 16,382,310/x
  3. Step 3: Cross multiply
    7,468,275x = 16,382,310 × 16,382,310
  4. Step 4: Simplify right side
    7,468,275x = 268,380,080,936,100
  5. Step 5: Solve for x
    x = 268,380,080,936,100/7,468,275
  6. Step 6: Final answer
    x = 35,936,020.16

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Why These Related Problems?

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