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Finding the Third Proportional to 5,711,384.50 and 12,464,541.50

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Solution

The third proportional to 5,711,384.50 and 12,464,541.50 is: 27,202,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711,384.50 : 12,464,541.50 = 12,464,541.50 : x
  2. Step 2: Convert to fraction form
    5,711,384.50/12,464,541.50 = 12,464,541.50/x
  3. Step 3: Cross multiply
    5,711,384.50x = 12,464,541.50 × 12,464,541.50
  4. Step 4: Simplify right side
    5,711,384.50x = 155,364,794,805,222.25
  5. Step 5: Solve for x
    x = 155,364,794,805,222.25/5,711,384.50
  6. Step 6: Final answer
    x = 27,202,650.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.