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Finding the Third Proportional to 629,122,095 and 943,683,223.50

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Solution

The third proportional to 629,122,095 and 943,683,223.50 is: 1,415,524,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,122,095 : 943,683,223.50 = 943,683,223.50 : x
  2. Step 2: Convert to fraction form
    629,122,095/943,683,223.50 = 943,683,223.50/x
  3. Step 3: Cross multiply
    629,122,095x = 943,683,223.50 × 943,683,223.50
  4. Step 4: Simplify right side
    629,122,095x = 890,538,026,315,350,912
  5. Step 5: Solve for x
    x = 890,538,026,315,350,912/629,122,095
  6. Step 6: Final answer
    x = 1,415,524,956.75

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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.