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Finding the Third Proportional to 2,993,198.06 and 6,565,822.03

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Solution

The third proportional to 2,993,198.06 and 6,565,822.03 is: 14,402,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993,198.06 : 6,565,822.03 = 6,565,822.03 : x
  2. Step 2: Convert to fraction form
    2,993,198.06/6,565,822.03 = 6,565,822.03/x
  3. Step 3: Cross multiply
    2,993,198.06x = 6,565,822.03 × 6,565,822.03
  4. Step 4: Simplify right side
    2,993,198.06x = 43,110,018,946,047.88
  5. Step 5: Solve for x
    x = 43,110,018,946,047.88/2,993,198.06
  6. Step 6: Final answer
    x = 14,402,661.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.