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Finding the Third Proportional to 3,173,223.09 and 6,851,415.38

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Solution

The third proportional to 3,173,223.09 and 6,851,415.38 is: 14,793,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173,223.09 : 6,851,415.38 = 6,851,415.38 : x
  2. Step 2: Convert to fraction form
    3,173,223.09/6,851,415.38 = 6,851,415.38/x
  3. Step 3: Cross multiply
    3,173,223.09x = 6,851,415.38 × 6,851,415.38
  4. Step 4: Simplify right side
    3,173,223.09x = 46,941,892,640,786.39
  5. Step 5: Solve for x
    x = 46,941,892,640,786.39/3,173,223.09
  6. Step 6: Final answer
    x = 14,793,127.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.