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Finding the Third Proportional to 9,364,231,734 and 13,529,697,756

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Solution

The third proportional to 9,364,231,734 and 13,529,697,756 is: 19,548,076,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364,231,734 : 13,529,697,756 = 13,529,697,756 : x
  2. Step 2: Convert to fraction form
    9,364,231,734/13,529,697,756 = 13,529,697,756/x
  3. Step 3: Cross multiply
    9,364,231,734x = 13,529,697,756 × 13,529,697,756
  4. Step 4: Simplify right side
    9,364,231,734x = 183,052,721,368,711,430,144
  5. Step 5: Solve for x
    x = 183,052,721,368,711,430,144/9,364,231,734
  6. Step 6: Final answer
    x = 19,548,076,827.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.