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Finding the Third Proportional to 377,493,002.44 and 820,328,535.28

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Solution

The third proportional to 377,493,002.44 and 820,328,535.28 is: 1,782,652,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,493,002.44 : 820,328,535.28 = 820,328,535.28 : x
  2. Step 2: Convert to fraction form
    377,493,002.44/820,328,535.28 = 820,328,535.28/x
  3. Step 3: Cross multiply
    377,493,002.44x = 820,328,535.28 × 820,328,535.28
  4. Step 4: Simplify right side
    377,493,002.44x = 672,938,905,796,681,088
  5. Step 5: Solve for x
    x = 672,938,905,796,681,088/377,493,002.44
  6. Step 6: Final answer
    x = 1,782,652,662.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.