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Finding the Third Proportional to 518,493,036 and 758,054,931

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Solution

The third proportional to 518,493,036 and 758,054,931 is: 1,108,302,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,493,036 : 758,054,931 = 758,054,931 : x
  2. Step 2: Convert to fraction form
    518,493,036/758,054,931 = 758,054,931/x
  3. Step 3: Cross multiply
    518,493,036x = 758,054,931 × 758,054,931
  4. Step 4: Simplify right side
    518,493,036x = 574,647,278,413,414,784
  5. Step 5: Solve for x
    x = 574,647,278,413,414,784/518,493,036
  6. Step 6: Final answer
    x = 1,108,302,790.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.