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Finding the Third Proportional to 7,284,731,057 and 15,674,325,729

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Solution

The third proportional to 7,284,731,057 and 15,674,325,729 is: 33,725,951,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,731,057 : 15,674,325,729 = 15,674,325,729 : x
  2. Step 2: Convert to fraction form
    7,284,731,057/15,674,325,729 = 15,674,325,729/x
  3. Step 3: Cross multiply
    7,284,731,057x = 15,674,325,729 × 15,674,325,729
  4. Step 4: Simplify right side
    7,284,731,057x = 245,684,487,058,791,366,656
  5. Step 5: Solve for x
    x = 245,684,487,058,791,366,656/7,284,731,057
  6. Step 6: Final answer
    x = 33,725,951,601.56

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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.