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Finding the Third Proportional to 18,043,898.63 and 42,103,884.38

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Solution

The third proportional to 18,043,898.63 and 42,103,884.38 is: 98,245,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,043,898.63 : 42,103,884.38 = 42,103,884.38 : x
  2. Step 2: Convert to fraction form
    18,043,898.63/42,103,884.38 = 42,103,884.38/x
  3. Step 3: Cross multiply
    18,043,898.63x = 42,103,884.38 × 42,103,884.38
  4. Step 4: Simplify right side
    18,043,898.63x = 1,772,737,079,463,369.25
  5. Step 5: Solve for x
    x = 1,772,737,079,463,369.25/18,043,898.63
  6. Step 6: Final answer
    x = 98,245,790.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.