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Finding the Third Proportional to 547,524,228 and 1,140,339,768

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Solution

The third proportional to 547,524,228 and 1,140,339,768 is: 2,375,008,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,524,228 : 1,140,339,768 = 1,140,339,768 : x
  2. Step 2: Convert to fraction form
    547,524,228/1,140,339,768 = 1,140,339,768/x
  3. Step 3: Cross multiply
    547,524,228x = 1,140,339,768 × 1,140,339,768
  4. Step 4: Simplify right side
    547,524,228x = 1,300,374,786,482,293,760
  5. Step 5: Solve for x
    x = 1,300,374,786,482,293,760/547,524,228
  6. Step 6: Final answer
    x = 2,375,008,666.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.