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Finding the Third Proportional to 36,692,084 and 85,682,209

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Solution

The third proportional to 36,692,084 and 85,682,209 is: 200,082,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,692,084 : 85,682,209 = 85,682,209 : x
  2. Step 2: Convert to fraction form
    36,692,084/85,682,209 = 85,682,209/x
  3. Step 3: Cross multiply
    36,692,084x = 85,682,209 × 85,682,209
  4. Step 4: Simplify right side
    36,692,084x = 7,341,440,939,119,681
  5. Step 5: Solve for x
    x = 7,341,440,939,119,681/36,692,084
  6. Step 6: Final answer
    x = 200,082,419.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.