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Finding the Third Proportional to 3,515,951,875,899 and 7,616,146,146,057

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Solution

The third proportional to 3,515,951,875,899 and 7,616,146,146,057 is: 16,497,860,086,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515,951,875,899 : 7,616,146,146,057 = 7,616,146,146,057 : x
  2. Step 2: Convert to fraction form
    3,515,951,875,899/7,616,146,146,057 = 7,616,146,146,057/x
  3. Step 3: Cross multiply
    3,515,951,875,899x = 7,616,146,146,057 × 7,616,146,146,057
  4. Step 4: Simplify right side
    3,515,951,875,899x = 58,005,682,118,098,897,141,235,712
  5. Step 5: Solve for x
    x = 58,005,682,118,098,897,141,235,712/3,515,951,875,899
  6. Step 6: Final answer
    x = 16,497,860,086,116.03

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Why These Related Problems?

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