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Finding the Third Proportional to 820,834,405,032 and 1,765,201,565,472

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Solution

The third proportional to 820,834,405,032 and 1,765,201,565,472 is: 3,796,059,896,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,834,405,032 : 1,765,201,565,472 = 1,765,201,565,472 : x
  2. Step 2: Convert to fraction form
    820,834,405,032/1,765,201,565,472 = 1,765,201,565,472/x
  3. Step 3: Cross multiply
    820,834,405,032x = 1,765,201,565,472 × 1,765,201,565,472
  4. Step 4: Simplify right side
    820,834,405,032x = 3,115,936,566,744,799,516,819,456
  5. Step 5: Solve for x
    x = 3,115,936,566,744,799,516,819,456/820,834,405,032
  6. Step 6: Final answer
    x = 3,796,059,896,664.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.