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Finding the Third Proportional to 682,328,783.25 and 975,065,611.13

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Solution

The third proportional to 682,328,783.25 and 975,065,611.13 is: 1,393,394,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,328,783.25 : 975,065,611.13 = 975,065,611.13 : x
  2. Step 2: Convert to fraction form
    682,328,783.25/975,065,611.13 = 975,065,611.13/x
  3. Step 3: Cross multiply
    682,328,783.25x = 975,065,611.13 × 975,065,611.13
  4. Step 4: Simplify right side
    682,328,783.25x = 950,752,945,998,569,728
  5. Step 5: Solve for x
    x = 950,752,945,998,569,728/682,328,783.25
  6. Step 6: Final answer
    x = 1,393,394,166.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.