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Finding the Third Proportional to 1,003,227,985 and 2,097,930,247

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Solution

The third proportional to 1,003,227,985 and 2,097,930,247 is: 4,387,149,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,227,985 : 2,097,930,247 = 2,097,930,247 : x
  2. Step 2: Convert to fraction form
    1,003,227,985/2,097,930,247 = 2,097,930,247/x
  3. Step 3: Cross multiply
    1,003,227,985x = 2,097,930,247 × 2,097,930,247
  4. Step 4: Simplify right side
    1,003,227,985x = 4,401,311,321,277,480,960
  5. Step 5: Solve for x
    x = 4,401,311,321,277,480,960/1,003,227,985
  6. Step 6: Final answer
    x = 4,387,149,667.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.