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Finding the Third Proportional to 629,122,389 and 943,683,664.50

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Solution

The third proportional to 629,122,389 and 943,683,664.50 is: 1,415,525,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,122,389 : 943,683,664.50 = 943,683,664.50 : x
  2. Step 2: Convert to fraction form
    629,122,389/943,683,664.50 = 943,683,664.50/x
  3. Step 3: Cross multiply
    629,122,389x = 943,683,664.50 × 943,683,664.50
  4. Step 4: Simplify right side
    629,122,389x = 890,538,858,644,148,608
  5. Step 5: Solve for x
    x = 890,538,858,644,148,608/629,122,389
  6. Step 6: Final answer
    x = 1,415,525,618.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.