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Finding the Third Proportional to 13,542,146 and 29,293,102

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Solution

The third proportional to 13,542,146 and 29,293,102 is: 63,364,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542,146 : 29,293,102 = 29,293,102 : x
  2. Step 2: Convert to fraction form
    13,542,146/29,293,102 = 29,293,102/x
  3. Step 3: Cross multiply
    13,542,146x = 29,293,102 × 29,293,102
  4. Step 4: Simplify right side
    13,542,146x = 858,085,824,782,404
  5. Step 5: Solve for x
    x = 858,085,824,782,404/13,542,146
  6. Step 6: Final answer
    x = 63,364,094.94

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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.