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Finding the Third Proportional to 30,768,192 and 65,654,586

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Solution

The third proportional to 30,768,192 and 65,654,586 is: 140,096,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768,192 : 65,654,586 = 65,654,586 : x
  2. Step 2: Convert to fraction form
    30,768,192/65,654,586 = 65,654,586/x
  3. Step 3: Cross multiply
    30,768,192x = 65,654,586 × 65,654,586
  4. Step 4: Simplify right side
    30,768,192x = 4,310,524,662,831,396
  5. Step 5: Solve for x
    x = 4,310,524,662,831,396/30,768,192
  6. Step 6: Final answer
    x = 140,096,781.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.