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Finding the Third Proportional to 4,123,706,592,816 and 8,364,995,568,576

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Solution

The third proportional to 4,123,706,592,816 and 8,364,995,568,576 is: 16,968,508,618,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123,706,592,816 : 8,364,995,568,576 = 8,364,995,568,576 : x
  2. Step 2: Convert to fraction form
    4,123,706,592,816/8,364,995,568,576 = 8,364,995,568,576/x
  3. Step 3: Cross multiply
    4,123,706,592,816x = 8,364,995,568,576 × 8,364,995,568,576
  4. Step 4: Simplify right side
    4,123,706,592,816x = 69,973,150,862,296,118,867,263,488
  5. Step 5: Solve for x
    x = 69,973,150,862,296,118,867,263,488/4,123,706,592,816
  6. Step 6: Final answer
    x = 16,968,508,618,968.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.