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Finding the Third Proportional to 3,064,858.38 and 6,503,309.33

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Solution

The third proportional to 3,064,858.38 and 6,503,309.33 is: 13,799,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064,858.38 : 6,503,309.33 = 6,503,309.33 : x
  2. Step 2: Convert to fraction form
    3,064,858.38/6,503,309.33 = 6,503,309.33/x
  3. Step 3: Cross multiply
    3,064,858.38x = 6,503,309.33 × 6,503,309.33
  4. Step 4: Simplify right side
    3,064,858.38x = 42,293,032,268,084.09
  5. Step 5: Solve for x
    x = 42,293,032,268,084.09/3,064,858.38
  6. Step 6: Final answer
    x = 13,799,343.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.