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Finding the Third Proportional to 189,378,752 and 407,520,920

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Solution

The third proportional to 189,378,752 and 407,520,920 is: 876,937,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,378,752 : 407,520,920 = 407,520,920 : x
  2. Step 2: Convert to fraction form
    189,378,752/407,520,920 = 407,520,920/x
  3. Step 3: Cross multiply
    189,378,752x = 407,520,920 × 407,520,920
  4. Step 4: Simplify right side
    189,378,752x = 166,073,300,237,646,400
  5. Step 5: Solve for x
    x = 166,073,300,237,646,400/189,378,752
  6. Step 6: Final answer
    x = 876,937,346.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.