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Finding the Third Proportional to 5,905,446.75 and 9,243,856.69

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Solution

The third proportional to 5,905,446.75 and 9,243,856.69 is: 14,469,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905,446.75 : 9,243,856.69 = 9,243,856.69 : x
  2. Step 2: Convert to fraction form
    5,905,446.75/9,243,856.69 = 9,243,856.69/x
  3. Step 3: Cross multiply
    5,905,446.75x = 9,243,856.69 × 9,243,856.69
  4. Step 4: Simplify right side
    5,905,446.75x = 85,448,886,459,038.47
  5. Step 5: Solve for x
    x = 85,448,886,459,038.47/5,905,446.75
  6. Step 6: Final answer
    x = 14,469,504.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.