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Finding the Third Proportional to 9,435,869 and 20,638,013

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Solution

The third proportional to 9,435,869 and 20,638,013 is: 45,139,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435,869 : 20,638,013 = 20,638,013 : x
  2. Step 2: Convert to fraction form
    9,435,869/20,638,013 = 20,638,013/x
  3. Step 3: Cross multiply
    9,435,869x = 20,638,013 × 20,638,013
  4. Step 4: Simplify right side
    9,435,869x = 425,927,580,588,169
  5. Step 5: Solve for x
    x = 425,927,580,588,169/9,435,869
  6. Step 6: Final answer
    x = 45,139,200.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.