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Finding the Third Proportional to 257,954,428,202 and 384,694,691,073

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Solution

The third proportional to 257,954,428,202 and 384,694,691,073 is: 573,706,008,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,954,428,202 : 384,694,691,073 = 384,694,691,073 : x
  2. Step 2: Convert to fraction form
    257,954,428,202/384,694,691,073 = 384,694,691,073/x
  3. Step 3: Cross multiply
    257,954,428,202x = 384,694,691,073 × 384,694,691,073
  4. Step 4: Simplify right side
    257,954,428,202x = 147,990,005,339,750,913,802,240
  5. Step 5: Solve for x
    x = 147,990,005,339,750,913,802,240/257,954,428,202
  6. Step 6: Final answer
    x = 573,706,008,349.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.