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Finding the Third Proportional to 676,087,240 and 1,481,784,848

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Solution

The third proportional to 676,087,240 and 1,481,784,848 is: 3,247,637,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,087,240 : 1,481,784,848 = 1,481,784,848 : x
  2. Step 2: Convert to fraction form
    676,087,240/1,481,784,848 = 1,481,784,848/x
  3. Step 3: Cross multiply
    676,087,240x = 1,481,784,848 × 1,481,784,848
  4. Step 4: Simplify right side
    676,087,240x = 2,195,686,335,762,383,104
  5. Step 5: Solve for x
    x = 2,195,686,335,762,383,104/676,087,240
  6. Step 6: Final answer
    x = 3,247,637,591.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.