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Finding the Third Proportional to 3,464,427,457.25 and 8,083,943,427

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Solution

The third proportional to 3,464,427,457.25 and 8,083,943,427 is: 18,863,186,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464,427,457.25 : 8,083,943,427 = 8,083,943,427 : x
  2. Step 2: Convert to fraction form
    3,464,427,457.25/8,083,943,427 = 8,083,943,427/x
  3. Step 3: Cross multiply
    3,464,427,457.25x = 8,083,943,427 × 8,083,943,427
  4. Step 4: Simplify right side
    3,464,427,457.25x = 65,350,141,330,936,504,320
  5. Step 5: Solve for x
    x = 65,350,141,330,936,504,320/3,464,427,457.25
  6. Step 6: Final answer
    x = 18,863,186,525.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.