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Finding the Third Proportional to 2,255,953.50 and 4,871,515.50

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Solution

The third proportional to 2,255,953.50 and 4,871,515.50 is: 10,519,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,953.50 : 4,871,515.50 = 4,871,515.50 : x
  2. Step 2: Convert to fraction form
    2,255,953.50/4,871,515.50 = 4,871,515.50/x
  3. Step 3: Cross multiply
    2,255,953.50x = 4,871,515.50 × 4,871,515.50
  4. Step 4: Simplify right side
    2,255,953.50x = 23,731,663,266,740.25
  5. Step 5: Solve for x
    x = 23,731,663,266,740.25/2,255,953.50
  6. Step 6: Final answer
    x = 10,519,571.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.