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Finding the Third Proportional to 8,263,538,322 and 17,705,978,904

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Solution

The third proportional to 8,263,538,322 and 17,705,978,904 is: 37,937,948,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263,538,322 : 17,705,978,904 = 17,705,978,904 : x
  2. Step 2: Convert to fraction form
    8,263,538,322/17,705,978,904 = 17,705,978,904/x
  3. Step 3: Cross multiply
    8,263,538,322x = 17,705,978,904 × 17,705,978,904
  4. Step 4: Simplify right side
    8,263,538,322x = 313,501,688,948,893,024,256
  5. Step 5: Solve for x
    x = 313,501,688,948,893,024,256/8,263,538,322
  6. Step 6: Final answer
    x = 37,937,948,216.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.