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Finding the Third Proportional to 5,912,541 and 12,735,948

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Solution

The third proportional to 5,912,541 and 12,735,948 is: 27,433,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912,541 : 12,735,948 = 12,735,948 : x
  2. Step 2: Convert to fraction form
    5,912,541/12,735,948 = 12,735,948/x
  3. Step 3: Cross multiply
    5,912,541x = 12,735,948 × 12,735,948
  4. Step 4: Simplify right side
    5,912,541x = 162,204,371,458,704
  5. Step 5: Solve for x
    x = 162,204,371,458,704/5,912,541
  6. Step 6: Final answer
    x = 27,433,952.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.