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Finding the Third Proportional to 459,555,889,305.50 and 1,005,682,034,502

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Solution

The third proportional to 459,555,889,305.50 and 1,005,682,034,502 is: 2,200,812,519,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,555,889,305.50 : 1,005,682,034,502 = 1,005,682,034,502 : x
  2. Step 2: Convert to fraction form
    459,555,889,305.50/1,005,682,034,502 = 1,005,682,034,502/x
  3. Step 3: Cross multiply
    459,555,889,305.50x = 1,005,682,034,502 × 1,005,682,034,502
  4. Step 4: Simplify right side
    459,555,889,305.50x = 1,011,396,354,520,081,967,874,048
  5. Step 5: Solve for x
    x = 1,011,396,354,520,081,967,874,048/459,555,889,305.50
  6. Step 6: Final answer
    x = 2,200,812,519,340.24

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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.