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Finding the Third Proportional to 1,894,901,324.13 and 4,225,499,846.65

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Solution

The third proportional to 1,894,901,324.13 and 4,225,499,846.65 is: 9,422,574,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,901,324.13 : 4,225,499,846.65 = 4,225,499,846.65 : x
  2. Step 2: Convert to fraction form
    1,894,901,324.13/4,225,499,846.65 = 4,225,499,846.65/x
  3. Step 3: Cross multiply
    1,894,901,324.13x = 4,225,499,846.65 × 4,225,499,846.65
  4. Step 4: Simplify right side
    1,894,901,324.13x = 17,854,848,954,027,343,872
  5. Step 5: Solve for x
    x = 17,854,848,954,027,343,872/1,894,901,324.13
  6. Step 6: Final answer
    x = 9,422,574,530.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.