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Finding the Third Proportional to 1,004,366,987 and 2,128,214,149

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Solution

The third proportional to 1,004,366,987 and 2,128,214,149 is: 4,509,602,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,366,987 : 2,128,214,149 = 2,128,214,149 : x
  2. Step 2: Convert to fraction form
    1,004,366,987/2,128,214,149 = 2,128,214,149/x
  3. Step 3: Cross multiply
    1,004,366,987x = 2,128,214,149 × 2,128,214,149
  4. Step 4: Simplify right side
    1,004,366,987x = 4,529,295,464,003,794,432
  5. Step 5: Solve for x
    x = 4,529,295,464,003,794,432/1,004,366,987
  6. Step 6: Final answer
    x = 4,509,602,090.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.