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Finding the Third Proportional to 3,553,663,671,708 and 5,413,760,791,146

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Solution

The third proportional to 3,553,663,671,708 and 5,413,760,791,146 is: 8,247,490,086,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553,663,671,708 : 5,413,760,791,146 = 5,413,760,791,146 : x
  2. Step 2: Convert to fraction form
    3,553,663,671,708/5,413,760,791,146 = 5,413,760,791,146/x
  3. Step 3: Cross multiply
    3,553,663,671,708x = 5,413,760,791,146 × 5,413,760,791,146
  4. Step 4: Simplify right side
    3,553,663,671,708x = 29,308,805,903,749,765,274,796,032
  5. Step 5: Solve for x
    x = 29,308,805,903,749,765,274,796,032/3,553,663,671,708
  6. Step 6: Final answer
    x = 8,247,490,086,664.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.