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Finding the Third Proportional to 1,305,181,040 and 2,070,098,158

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Solution

The third proportional to 1,305,181,040 and 2,070,098,158 is: 3,283,304,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,181,040 : 2,070,098,158 = 2,070,098,158 : x
  2. Step 2: Convert to fraction form
    1,305,181,040/2,070,098,158 = 2,070,098,158/x
  3. Step 3: Cross multiply
    1,305,181,040x = 2,070,098,158 × 2,070,098,158
  4. Step 4: Simplify right side
    1,305,181,040x = 4,285,306,383,754,993,152
  5. Step 5: Solve for x
    x = 4,285,306,383,754,993,152/1,305,181,040
  6. Step 6: Final answer
    x = 3,283,304,194.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.