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Finding the Third Proportional to 1,004,366,985 and 2,128,214,145

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Solution

The third proportional to 1,004,366,985 and 2,128,214,145 is: 4,509,602,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,366,985 : 2,128,214,145 = 2,128,214,145 : x
  2. Step 2: Convert to fraction form
    1,004,366,985/2,128,214,145 = 2,128,214,145/x
  3. Step 3: Cross multiply
    1,004,366,985x = 2,128,214,145 × 2,128,214,145
  4. Step 4: Simplify right side
    1,004,366,985x = 4,529,295,446,978,081,280
  5. Step 5: Solve for x
    x = 4,529,295,446,978,081,280/1,004,366,985
  6. Step 6: Final answer
    x = 4,509,602,082.33

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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.