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Finding the Third Proportional to 2,256,116 and 4,871,882.25

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Solution

The third proportional to 2,256,116 and 4,871,882.25 is: 10,520,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256,116 : 4,871,882.25 = 4,871,882.25 : x
  2. Step 2: Convert to fraction form
    2,256,116/4,871,882.25 = 4,871,882.25/x
  3. Step 3: Cross multiply
    2,256,116x = 4,871,882.25 × 4,871,882.25
  4. Step 4: Simplify right side
    2,256,116x = 23,735,236,657,865.06
  5. Step 5: Solve for x
    x = 23,735,236,657,865.06/2,256,116
  6. Step 6: Final answer
    x = 10,520,397.29

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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.