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Finding the Third Proportional to 382,152,826.13 and 835,839,825.19

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Solution

The third proportional to 382,152,826.13 and 835,839,825.19 is: 1,828,138,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,152,826.13 : 835,839,825.19 = 835,839,825.19 : x
  2. Step 2: Convert to fraction form
    382,152,826.13/835,839,825.19 = 835,839,825.19/x
  3. Step 3: Cross multiply
    382,152,826.13x = 835,839,825.19 × 835,839,825.19
  4. Step 4: Simplify right side
    382,152,826.13x = 698,628,213,369,470,592
  5. Step 5: Solve for x
    x = 698,628,213,369,470,592/382,152,826.13
  6. Step 6: Final answer
    x = 1,828,138,288.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.