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Finding the Third Proportional to 524,847,487.50 and 1,127,583,758.25

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Solution

The third proportional to 524,847,487.50 and 1,127,583,758.25 is: 2,422,503,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,847,487.50 : 1,127,583,758.25 = 1,127,583,758.25 : x
  2. Step 2: Convert to fraction form
    524,847,487.50/1,127,583,758.25 = 1,127,583,758.25/x
  3. Step 3: Cross multiply
    524,847,487.50x = 1,127,583,758.25 × 1,127,583,758.25
  4. Step 4: Simplify right side
    524,847,487.50x = 1,271,445,131,869,194,496
  5. Step 5: Solve for x
    x = 1,271,445,131,869,194,496/524,847,487.50
  6. Step 6: Final answer
    x = 2,422,503,988.59

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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.