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Finding the Third Proportional to 5,295,759.75 and 11,314,459.69

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Solution

The third proportional to 5,295,759.75 and 11,314,459.69 is: 24,173,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295,759.75 : 11,314,459.69 = 11,314,459.69 : x
  2. Step 2: Convert to fraction form
    5,295,759.75/11,314,459.69 = 11,314,459.69/x
  3. Step 3: Cross multiply
    5,295,759.75x = 11,314,459.69 × 11,314,459.69
  4. Step 4: Simplify right side
    5,295,759.75x = 128,016,998,020,062.59
  5. Step 5: Solve for x
    x = 128,016,998,020,062.59/5,295,759.75
  6. Step 6: Final answer
    x = 24,173,490.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.