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Finding the Third Proportional to 1,533,286,105 and 3,335,219,797

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Solution

The third proportional to 1,533,286,105 and 3,335,219,797 is: 7,254,804,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,286,105 : 3,335,219,797 = 3,335,219,797 : x
  2. Step 2: Convert to fraction form
    1,533,286,105/3,335,219,797 = 3,335,219,797/x
  3. Step 3: Cross multiply
    1,533,286,105x = 3,335,219,797 × 3,335,219,797
  4. Step 4: Simplify right side
    1,533,286,105x = 11,123,691,094,300,721,152
  5. Step 5: Solve for x
    x = 11,123,691,094,300,721,152/1,533,286,105
  6. Step 6: Final answer
    x = 7,254,804,604.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.