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Finding the Third Proportional to 25,710,672,431,296 and 55,511,354,125,712

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Solution

The third proportional to 25,710,672,431,296 and 55,511,354,125,712 is: 119,853,358,371,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710,672,431,296 : 55,511,354,125,712 = 55,511,354,125,712 : x
  2. Step 2: Convert to fraction form
    25,710,672,431,296/55,511,354,125,712 = 55,511,354,125,712/x
  3. Step 3: Cross multiply
    25,710,672,431,296x = 55,511,354,125,712 × 55,511,354,125,712
  4. Step 4: Simplify right side
    25,710,672,431,296x = 3,081,510,436,870,202,906,122,387,456
  5. Step 5: Solve for x
    x = 3,081,510,436,870,202,906,122,387,456/25,710,672,431,296
  6. Step 6: Final answer
    x = 119,853,358,371,104.77

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