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Finding the Third Proportional to 1,165,798,169 and 1,667,105,105

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Solution

The third proportional to 1,165,798,169 and 1,667,105,105 is: 2,383,979,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,798,169 : 1,667,105,105 = 1,667,105,105 : x
  2. Step 2: Convert to fraction form
    1,165,798,169/1,667,105,105 = 1,667,105,105/x
  3. Step 3: Cross multiply
    1,165,798,169x = 1,667,105,105 × 1,667,105,105
  4. Step 4: Simplify right side
    1,165,798,169x = 2,779,239,431,117,061,120
  5. Step 5: Solve for x
    x = 2,779,239,431,117,061,120/1,165,798,169
  6. Step 6: Final answer
    x = 2,383,979,924.67

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