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Finding the Third Proportional to 13,969,158 and 20,867,706

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Solution

The third proportional to 13,969,158 and 20,867,706 is: 31,173,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969,158 : 20,867,706 = 20,867,706 : x
  2. Step 2: Convert to fraction form
    13,969,158/20,867,706 = 20,867,706/x
  3. Step 3: Cross multiply
    13,969,158x = 20,867,706 × 20,867,706
  4. Step 4: Simplify right side
    13,969,158x = 435,461,153,702,436
  5. Step 5: Solve for x
    x = 435,461,153,702,436/13,969,158
  6. Step 6: Final answer
    x = 31,173,042.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.