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Finding the Third Proportional to 39,720,096 and 85,710,456

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Solution

The third proportional to 39,720,096 and 85,710,456 is: 184,951,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,720,096 : 85,710,456 = 85,710,456 : x
  2. Step 2: Convert to fraction form
    39,720,096/85,710,456 = 85,710,456/x
  3. Step 3: Cross multiply
    39,720,096x = 85,710,456 × 85,710,456
  4. Step 4: Simplify right side
    39,720,096x = 7,346,282,267,727,936
  5. Step 5: Solve for x
    x = 7,346,282,267,727,936/39,720,096
  6. Step 6: Final answer
    x = 184,951,271.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.