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Finding the Third Proportional to 7,284,731,054 and 15,674,325,724

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Solution

The third proportional to 7,284,731,054 and 15,674,325,724 is: 33,725,951,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,731,054 : 15,674,325,724 = 15,674,325,724 : x
  2. Step 2: Convert to fraction form
    7,284,731,054/15,674,325,724 = 15,674,325,724/x
  3. Step 3: Cross multiply
    7,284,731,054x = 15,674,325,724 × 15,674,325,724
  4. Step 4: Simplify right side
    7,284,731,054x = 245,684,486,902,048,129,024
  5. Step 5: Solve for x
    x = 245,684,486,902,048,129,024/7,284,731,054
  6. Step 6: Final answer
    x = 33,725,951,593.94

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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.