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Finding the Third Proportional to 6,837,504.75 and 14,590,273.50

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Solution

The third proportional to 6,837,504.75 and 14,590,273.50 is: 31,133,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,504.75 : 14,590,273.50 = 14,590,273.50 : x
  2. Step 2: Convert to fraction form
    6,837,504.75/14,590,273.50 = 14,590,273.50/x
  3. Step 3: Cross multiply
    6,837,504.75x = 14,590,273.50 × 14,590,273.50
  4. Step 4: Simplify right side
    6,837,504.75x = 212,876,080,804,802.25
  5. Step 5: Solve for x
    x = 212,876,080,804,802.25/6,837,504.75
  6. Step 6: Final answer
    x = 31,133,591.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.