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Finding the Third Proportional to 865,344,915.56 and 1,761,271,654.50

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Solution

The third proportional to 865,344,915.56 and 1,761,271,654.50 is: 3,584,787,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,344,915.56 : 1,761,271,654.50 = 1,761,271,654.50 : x
  2. Step 2: Convert to fraction form
    865,344,915.56/1,761,271,654.50 = 1,761,271,654.50/x
  3. Step 3: Cross multiply
    865,344,915.56x = 1,761,271,654.50 × 1,761,271,654.50
  4. Step 4: Simplify right side
    865,344,915.56x = 3,102,077,840,945,167,360
  5. Step 5: Solve for x
    x = 3,102,077,840,945,167,360/865,344,915.56
  6. Step 6: Final answer
    x = 3,584,787,736.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.