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Finding the Third Proportional to 5,113,615.50 and 11,038,401

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Solution

The third proportional to 5,113,615.50 and 11,038,401 is: 23,827,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113,615.50 : 11,038,401 = 11,038,401 : x
  2. Step 2: Convert to fraction form
    5,113,615.50/11,038,401 = 11,038,401/x
  3. Step 3: Cross multiply
    5,113,615.50x = 11,038,401 × 11,038,401
  4. Step 4: Simplify right side
    5,113,615.50x = 121,846,296,636,801
  5. Step 5: Solve for x
    x = 121,846,296,636,801/5,113,615.50
  6. Step 6: Final answer
    x = 23,827,817.45

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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.