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Finding the Third Proportional to 7,506,231.75 and 16,389,040.50

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Solution

The third proportional to 7,506,231.75 and 16,389,040.50 is: 35,783,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506,231.75 : 16,389,040.50 = 16,389,040.50 : x
  2. Step 2: Convert to fraction form
    7,506,231.75/16,389,040.50 = 16,389,040.50/x
  3. Step 3: Cross multiply
    7,506,231.75x = 16,389,040.50 × 16,389,040.50
  4. Step 4: Simplify right side
    7,506,231.75x = 268,600,648,510,640.25
  5. Step 5: Solve for x
    x = 268,600,648,510,640.25/7,506,231.75
  6. Step 6: Final answer
    x = 35,783,687.14

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Why These Related Problems?

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