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Finding the Third Proportional to 1,071,154,118.25 and 1,654,485,831

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Solution

The third proportional to 1,071,154,118.25 and 1,654,485,831 is: 2,555,489,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,154,118.25 : 1,654,485,831 = 1,654,485,831 : x
  2. Step 2: Convert to fraction form
    1,071,154,118.25/1,654,485,831 = 1,654,485,831/x
  3. Step 3: Cross multiply
    1,071,154,118.25x = 1,654,485,831 × 1,654,485,831
  4. Step 4: Simplify right side
    1,071,154,118.25x = 2,737,323,364,979,760,640
  5. Step 5: Solve for x
    x = 2,737,323,364,979,760,640/1,071,154,118.25
  6. Step 6: Final answer
    x = 2,555,489,745.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.