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Finding the Third Proportional to 16,974,346,997 and 35,707,748,944

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Solution

The third proportional to 16,974,346,997 and 35,707,748,944 is: 75,115,899,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974,346,997 : 35,707,748,944 = 35,707,748,944 : x
  2. Step 2: Convert to fraction form
    16,974,346,997/35,707,748,944 = 35,707,748,944/x
  3. Step 3: Cross multiply
    16,974,346,997x = 35,707,748,944 × 35,707,748,944
  4. Step 4: Simplify right side
    16,974,346,997x = 1,275,043,334,647,733,026,816
  5. Step 5: Solve for x
    x = 1,275,043,334,647,733,026,816/16,974,346,997
  6. Step 6: Final answer
    x = 75,115,899,001.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.