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Finding the Third Proportional to 3,515,951,875,897 and 7,616,146,146,053

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Solution

The third proportional to 3,515,951,875,897 and 7,616,146,146,053 is: 16,497,860,086,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515,951,875,897 : 7,616,146,146,053 = 7,616,146,146,053 : x
  2. Step 2: Convert to fraction form
    3,515,951,875,897/7,616,146,146,053 = 7,616,146,146,053/x
  3. Step 3: Cross multiply
    3,515,951,875,897x = 7,616,146,146,053 × 7,616,146,146,053
  4. Step 4: Simplify right side
    3,515,951,875,897x = 58,005,682,118,037,968,735,174,656
  5. Step 5: Solve for x
    x = 58,005,682,118,037,968,735,174,656/3,515,951,875,897
  6. Step 6: Final answer
    x = 16,497,860,086,108.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.