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Finding the Third Proportional to 3,283,589,382 and 5,088,659,486

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Solution

The third proportional to 3,283,589,382 and 5,088,659,486 is: 7,886,021,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283,589,382 : 5,088,659,486 = 5,088,659,486 : x
  2. Step 2: Convert to fraction form
    3,283,589,382/5,088,659,486 = 5,088,659,486/x
  3. Step 3: Cross multiply
    3,283,589,382x = 5,088,659,486 × 5,088,659,486
  4. Step 4: Simplify right side
    3,283,589,382x = 25,894,455,364,457,783,296
  5. Step 5: Solve for x
    x = 25,894,455,364,457,783,296/3,283,589,382
  6. Step 6: Final answer
    x = 7,886,021,165.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.