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Finding the Third Proportional to 2,078,540,813 and 4,304,415,305

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Solution

The third proportional to 2,078,540,813 and 4,304,415,305 is: 8,913,941,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,540,813 : 4,304,415,305 = 4,304,415,305 : x
  2. Step 2: Convert to fraction form
    2,078,540,813/4,304,415,305 = 4,304,415,305/x
  3. Step 3: Cross multiply
    2,078,540,813x = 4,304,415,305 × 4,304,415,305
  4. Step 4: Simplify right side
    2,078,540,813x = 18,527,991,117,918,244,864
  5. Step 5: Solve for x
    x = 18,527,991,117,918,244,864/2,078,540,813
  6. Step 6: Final answer
    x = 8,913,941,454.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.