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Finding the Third Proportional to 5,674,217,732,829.90 and 8,474,143,949,437.90

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Solution

The third proportional to 5,674,217,732,829.90 and 8,474,143,949,437.90 is: 12,655,685,604,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,217,732,829.90 : 8,474,143,949,437.90 = 8,474,143,949,437.90 : x
  2. Step 2: Convert to fraction form
    5,674,217,732,829.90/8,474,143,949,437.90 = 8,474,143,949,437.90/x
  3. Step 3: Cross multiply
    5,674,217,732,829.90x = 8,474,143,949,437.90 × 8,474,143,949,437.90
  4. Step 4: Simplify right side
    5,674,217,732,829.90x = 71,811,115,675,794,978,763,702,272
  5. Step 5: Solve for x
    x = 71,811,115,675,794,978,763,702,272/5,674,217,732,829.90
  6. Step 6: Final answer
    x = 12,655,685,604,080.73

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