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Finding the Third Proportional to 37,464,585,536 and 80,900,376,255

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Solution

The third proportional to 37,464,585,536 and 80,900,376,255 is: 174,694,869,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464,585,536 : 80,900,376,255 = 80,900,376,255 : x
  2. Step 2: Convert to fraction form
    37,464,585,536/80,900,376,255 = 80,900,376,255/x
  3. Step 3: Cross multiply
    37,464,585,536x = 80,900,376,255 × 80,900,376,255
  4. Step 4: Simplify right side
    37,464,585,536x = 6,544,870,878,200,568,217,600
  5. Step 5: Solve for x
    x = 6,544,870,878,200,568,217,600/37,464,585,536
  6. Step 6: Final answer
    x = 174,694,869,423.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.