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Finding the Third Proportional to 737,389,166 and 1,579,956,824

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Solution

The third proportional to 737,389,166 and 1,579,956,824 is: 3,385,272,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,389,166 : 1,579,956,824 = 1,579,956,824 : x
  2. Step 2: Convert to fraction form
    737,389,166/1,579,956,824 = 1,579,956,824/x
  3. Step 3: Cross multiply
    737,389,166x = 1,579,956,824 × 1,579,956,824
  4. Step 4: Simplify right side
    737,389,166x = 2,496,263,565,704,166,912
  5. Step 5: Solve for x
    x = 2,496,263,565,704,166,912/737,389,166
  6. Step 6: Final answer
    x = 3,385,272,907.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.