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Finding the Third Proportional to 9,360,245,471,262 and 18,983,679,762,576

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Solution

The third proportional to 9,360,245,471,262 and 18,983,679,762,576 is: 38,501,137,436,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,360,245,471,262 : 18,983,679,762,576 = 18,983,679,762,576 : x
  2. Step 2: Convert to fraction form
    9,360,245,471,262/18,983,679,762,576 = 18,983,679,762,576/x
  3. Step 3: Cross multiply
    9,360,245,471,262x = 18,983,679,762,576 × 18,983,679,762,576
  4. Step 4: Simplify right side
    9,360,245,471,262x = 360,380,097,328,037,562,027,081,728
  5. Step 5: Solve for x
    x = 360,380,097,328,037,562,027,081,728/9,360,245,471,262
  6. Step 6: Final answer
    x = 38,501,137,436,457.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.