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Finding the Third Proportional to 18,650,497,144.50 and 40,568,758,567.50

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Solution

The third proportional to 18,650,497,144.50 and 40,568,758,567.50 is: 88,245,592,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,650,497,144.50 : 40,568,758,567.50 = 40,568,758,567.50 : x
  2. Step 2: Convert to fraction form
    18,650,497,144.50/40,568,758,567.50 = 40,568,758,567.50/x
  3. Step 3: Cross multiply
    18,650,497,144.50x = 40,568,758,567.50 × 40,568,758,567.50
  4. Step 4: Simplify right side
    18,650,497,144.50x = 1,645,824,171,708,104,572,928
  5. Step 5: Solve for x
    x = 1,645,824,171,708,104,572,928/18,650,497,144.50
  6. Step 6: Final answer
    x = 88,245,592,541.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.