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Finding the Third Proportional to 3,032,974.13 and 6,601,540.50

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Solution

The third proportional to 3,032,974.13 and 6,601,540.50 is: 14,368,845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032,974.13 : 6,601,540.50 = 6,601,540.50 : x
  2. Step 2: Convert to fraction form
    3,032,974.13/6,601,540.50 = 6,601,540.50/x
  3. Step 3: Cross multiply
    3,032,974.13x = 6,601,540.50 × 6,601,540.50
  4. Step 4: Simplify right side
    3,032,974.13x = 43,580,336,973,140.25
  5. Step 5: Solve for x
    x = 43,580,336,973,140.25/3,032,974.13
  6. Step 6: Final answer
    x = 14,368,845.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.