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Finding the Third Proportional to 30,291,569 and 65,202,082

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Solution

The third proportional to 30,291,569 and 65,202,082 is: 140,346,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,569 : 65,202,082 = 65,202,082 : x
  2. Step 2: Convert to fraction form
    30,291,569/65,202,082 = 65,202,082/x
  3. Step 3: Cross multiply
    30,291,569x = 65,202,082 × 65,202,082
  4. Step 4: Simplify right side
    30,291,569x = 4,251,311,497,134,724
  5. Step 5: Solve for x
    x = 4,251,311,497,134,724/30,291,569
  6. Step 6: Final answer
    x = 140,346,361.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.