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Finding the Third Proportional to 6,249,561,867 and 9,520,857,279

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Solution

The third proportional to 6,249,561,867 and 9,520,857,279 is: 14,504,492,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249,561,867 : 9,520,857,279 = 9,520,857,279 : x
  2. Step 2: Convert to fraction form
    6,249,561,867/9,520,857,279 = 9,520,857,279/x
  3. Step 3: Cross multiply
    6,249,561,867x = 9,520,857,279 × 9,520,857,279
  4. Step 4: Simplify right side
    6,249,561,867x = 90,646,723,327,087,280,128
  5. Step 5: Solve for x
    x = 90,646,723,327,087,280,128/6,249,561,867
  6. Step 6: Final answer
    x = 14,504,492,515.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.