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Finding the Third Proportional to 404,715,882,769.84 and 899,920,460,633.64

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Solution

The third proportional to 404,715,882,769.84 and 899,920,460,633.64 is: 2,001,050,292,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,715,882,769.84 : 899,920,460,633.64 = 899,920,460,633.64 : x
  2. Step 2: Convert to fraction form
    404,715,882,769.84/899,920,460,633.64 = 899,920,460,633.64/x
  3. Step 3: Cross multiply
    404,715,882,769.84x = 899,920,460,633.64 × 899,920,460,633.64
  4. Step 4: Simplify right side
    404,715,882,769.84x = 809,856,835,467,062,770,925,568
  5. Step 5: Solve for x
    x = 809,856,835,467,062,770,925,568/404,715,882,769.84
  6. Step 6: Final answer
    x = 2,001,050,292,181.45

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1.5x scale

Why These Related Problems?

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