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Finding the Third Proportional to 13,930,023 and 29,270,094

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Solution

The third proportional to 13,930,023 and 29,270,094 is: 61,503,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930,023 : 29,270,094 = 29,270,094 : x
  2. Step 2: Convert to fraction form
    13,930,023/29,270,094 = 29,270,094/x
  3. Step 3: Cross multiply
    13,930,023x = 29,270,094 × 29,270,094
  4. Step 4: Simplify right side
    13,930,023x = 856,738,402,768,836
  5. Step 5: Solve for x
    x = 856,738,402,768,836/13,930,023
  6. Step 6: Final answer
    x = 61,503,014.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.