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Finding the Third Proportional to 943,683,135 and 1,415,524,824

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Solution

The third proportional to 943,683,135 and 1,415,524,824 is: 2,123,287,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,683,135 : 1,415,524,824 = 1,415,524,824 : x
  2. Step 2: Convert to fraction form
    943,683,135/1,415,524,824 = 1,415,524,824/x
  3. Step 3: Cross multiply
    943,683,135x = 1,415,524,824 × 1,415,524,824
  4. Step 4: Simplify right side
    943,683,135x = 2,003,710,527,360,230,912
  5. Step 5: Solve for x
    x = 2,003,710,527,360,230,912/943,683,135
  6. Step 6: Final answer
    x = 2,123,287,418.25

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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.