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Finding the Third Proportional to 352,631,430 and 823,452,084

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Solution

The third proportional to 352,631,430 and 823,452,084 is: 1,922,895,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,631,430 : 823,452,084 = 823,452,084 : x
  2. Step 2: Convert to fraction form
    352,631,430/823,452,084 = 823,452,084/x
  3. Step 3: Cross multiply
    352,631,430x = 823,452,084 × 823,452,084
  4. Step 4: Simplify right side
    352,631,430x = 678,073,334,643,943,040
  5. Step 5: Solve for x
    x = 678,073,334,643,943,040/352,631,430
  6. Step 6: Final answer
    x = 1,922,895,343.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.