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Finding the Third Proportional to 5,674,217,732,830.20 and 8,474,143,949,438.20

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Solution

The third proportional to 5,674,217,732,830.20 and 8,474,143,949,438.20 is: 12,655,685,604,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,217,732,830.20 : 8,474,143,949,438.20 = 8,474,143,949,438.20 : x
  2. Step 2: Convert to fraction form
    5,674,217,732,830.20/8,474,143,949,438.20 = 8,474,143,949,438.20/x
  3. Step 3: Cross multiply
    5,674,217,732,830.20x = 8,474,143,949,438.20 × 8,474,143,949,438.20
  4. Step 4: Simplify right side
    5,674,217,732,830.20x = 71,811,115,675,800,055,415,046,144
  5. Step 5: Solve for x
    x = 71,811,115,675,800,055,415,046,144/5,674,217,732,830.20
  6. Step 6: Final answer
    x = 12,655,685,604,080.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.