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Finding the Third Proportional to 7,010,394.75 and 14,578,035.75

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Solution

The third proportional to 7,010,394.75 and 14,578,035.75 is: 30,314,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010,394.75 : 14,578,035.75 = 14,578,035.75 : x
  2. Step 2: Convert to fraction form
    7,010,394.75/14,578,035.75 = 14,578,035.75/x
  3. Step 3: Cross multiply
    7,010,394.75x = 14,578,035.75 × 14,578,035.75
  4. Step 4: Simplify right side
    7,010,394.75x = 212,519,126,328,278.06
  5. Step 5: Solve for x
    x = 212,519,126,328,278.06/7,010,394.75
  6. Step 6: Final answer
    x = 30,314,858.71

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.