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Finding the Third Proportional to 30,002,832.84 and 65,457,060.19

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Solution

The third proportional to 30,002,832.84 and 65,457,060.19 is: 142,807,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002,832.84 : 65,457,060.19 = 65,457,060.19 : x
  2. Step 2: Convert to fraction form
    30,002,832.84/65,457,060.19 = 65,457,060.19/x
  3. Step 3: Cross multiply
    30,002,832.84x = 65,457,060.19 × 65,457,060.19
  4. Step 4: Simplify right side
    30,002,832.84x = 4,284,626,728,389,997.50
  5. Step 5: Solve for x
    x = 4,284,626,728,389,997.50/30,002,832.84
  6. Step 6: Final answer
    x = 142,807,405.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.