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Finding the Third Proportional to 388,313,107.13 and 834,258,024.75

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Solution

The third proportional to 388,313,107.13 and 834,258,024.75 is: 1,792,333,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,313,107.13 : 834,258,024.75 = 834,258,024.75 : x
  2. Step 2: Convert to fraction form
    388,313,107.13/834,258,024.75 = 834,258,024.75/x
  3. Step 3: Cross multiply
    388,313,107.13x = 834,258,024.75 × 834,258,024.75
  4. Step 4: Simplify right side
    388,313,107.13x = 695,986,451,859,771,648
  5. Step 5: Solve for x
    x = 695,986,451,859,771,648/388,313,107.13
  6. Step 6: Final answer
    x = 1,792,333,143.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.