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Finding the Third Proportional to 524,847,480.75 and 1,127,583,745.75

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Solution

The third proportional to 524,847,480.75 and 1,127,583,745.75 is: 2,422,503,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,847,480.75 : 1,127,583,745.75 = 1,127,583,745.75 : x
  2. Step 2: Convert to fraction form
    524,847,480.75/1,127,583,745.75 = 1,127,583,745.75/x
  3. Step 3: Cross multiply
    524,847,480.75x = 1,127,583,745.75 × 1,127,583,745.75
  4. Step 4: Simplify right side
    524,847,480.75x = 1,271,445,103,679,600,640
  5. Step 5: Solve for x
    x = 1,271,445,103,679,600,640/524,847,480.75
  6. Step 6: Final answer
    x = 2,422,503,966.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.