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Finding the Third Proportional to 4,492,185,390 and 9,694,631,790

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Solution

The third proportional to 4,492,185,390 and 9,694,631,790 is: 20,922,085,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492,185,390 : 9,694,631,790 = 9,694,631,790 : x
  2. Step 2: Convert to fraction form
    4,492,185,390/9,694,631,790 = 9,694,631,790/x
  3. Step 3: Cross multiply
    4,492,185,390x = 9,694,631,790 × 9,694,631,790
  4. Step 4: Simplify right side
    4,492,185,390x = 93,985,885,543,678,607,360
  5. Step 5: Solve for x
    x = 93,985,885,543,678,607,360/4,492,185,390
  6. Step 6: Final answer
    x = 20,922,085,217.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.