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Finding the Third Proportional to 1,165,796,684 and 1,667,102,062

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Solution

The third proportional to 1,165,796,684 and 1,667,102,062 is: 2,383,974,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,796,684 : 1,667,102,062 = 1,667,102,062 : x
  2. Step 2: Convert to fraction form
    1,165,796,684/1,667,102,062 = 1,667,102,062/x
  3. Step 3: Cross multiply
    1,165,796,684x = 1,667,102,062 × 1,667,102,062
  4. Step 4: Simplify right side
    1,165,796,684x = 2,779,229,285,124,652,032
  5. Step 5: Solve for x
    x = 2,779,229,285,124,652,032/1,165,796,684
  6. Step 6: Final answer
    x = 2,383,974,258.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.