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Finding the Third Proportional to 5,878,810.13 and 11,993,815.13

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Solution

The third proportional to 5,878,810.13 and 11,993,815.13 is: 24,469,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878,810.13 : 11,993,815.13 = 11,993,815.13 : x
  2. Step 2: Convert to fraction form
    5,878,810.13/11,993,815.13 = 11,993,815.13/x
  3. Step 3: Cross multiply
    5,878,810.13x = 11,993,815.13 × 11,993,815.13
  4. Step 4: Simplify right side
    5,878,810.13x = 143,851,601,252,678.75
  5. Step 5: Solve for x
    x = 143,851,601,252,678.75/5,878,810.13
  6. Step 6: Final answer
    x = 24,469,509.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.