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Finding the Third Proportional to 370,073,763 and 822,868,129

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Solution

The third proportional to 370,073,763 and 822,868,129 is: 1,829,667,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,073,763 : 822,868,129 = 822,868,129 : x
  2. Step 2: Convert to fraction form
    370,073,763/822,868,129 = 822,868,129/x
  3. Step 3: Cross multiply
    370,073,763x = 822,868,129 × 822,868,129
  4. Step 4: Simplify right side
    370,073,763x = 677,111,957,723,960,704
  5. Step 5: Solve for x
    x = 677,111,957,723,960,704/370,073,763
  6. Step 6: Final answer
    x = 1,829,667,556.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.