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Finding the Third Proportional to 46,026,682 and 99,226,672

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Solution

The third proportional to 46,026,682 and 99,226,672 is: 213,917,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,026,682 : 99,226,672 = 99,226,672 : x
  2. Step 2: Convert to fraction form
    46,026,682/99,226,672 = 99,226,672/x
  3. Step 3: Cross multiply
    46,026,682x = 99,226,672 × 99,226,672
  4. Step 4: Simplify right side
    46,026,682x = 9,845,932,436,195,584
  5. Step 5: Solve for x
    x = 9,845,932,436,195,584/46,026,682
  6. Step 6: Final answer
    x = 213,917,927.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.