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Finding the Third Proportional to 63,165,533,344 and 140,453,978,380

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Solution

The third proportional to 63,165,533,344 and 140,453,978,380 is: 312,311,461,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,165,533,344 : 140,453,978,380 = 140,453,978,380 : x
  2. Step 2: Convert to fraction form
    63,165,533,344/140,453,978,380 = 140,453,978,380/x
  3. Step 3: Cross multiply
    63,165,533,344x = 140,453,978,380 × 140,453,978,380
  4. Step 4: Simplify right side
    63,165,533,344x = 19,727,320,042,769,506,893,824
  5. Step 5: Solve for x
    x = 19,727,320,042,769,506,893,824/63,165,533,344
  6. Step 6: Final answer
    x = 312,311,461,621.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.