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Finding the Third Proportional to 13,343,973 and 29,286,102

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Solution

The third proportional to 13,343,973 and 29,286,102 is: 64,274,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343,973 : 29,286,102 = 29,286,102 : x
  2. Step 2: Convert to fraction form
    13,343,973/29,286,102 = 29,286,102/x
  3. Step 3: Cross multiply
    13,343,973x = 29,286,102 × 29,286,102
  4. Step 4: Simplify right side
    13,343,973x = 857,675,770,354,404
  5. Step 5: Solve for x
    x = 857,675,770,354,404/13,343,973
  6. Step 6: Final answer
    x = 64,274,393.42

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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.