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Finding the Third Proportional to 7,589,382,280 and 11,339,432,284

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Solution

The third proportional to 7,589,382,280 and 11,339,432,284 is: 16,942,449,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,382,280 : 11,339,432,284 = 11,339,432,284 : x
  2. Step 2: Convert to fraction form
    7,589,382,280/11,339,432,284 = 11,339,432,284/x
  3. Step 3: Cross multiply
    7,589,382,280x = 11,339,432,284 × 11,339,432,284
  4. Step 4: Simplify right side
    7,589,382,280x = 128,582,724,523,421,450,240
  5. Step 5: Solve for x
    x = 128,582,724,523,421,450,240/7,589,382,280
  6. Step 6: Final answer
    x = 16,942,449,303.45

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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.