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Finding the Third Proportional to 6,009,541 and 14,172,041

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Solution

The third proportional to 6,009,541 and 14,172,041 is: 33,421,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,541 : 14,172,041 = 14,172,041 : x
  2. Step 2: Convert to fraction form
    6,009,541/14,172,041 = 14,172,041/x
  3. Step 3: Cross multiply
    6,009,541x = 14,172,041 × 14,172,041
  4. Step 4: Simplify right side
    6,009,541x = 200,846,746,105,681
  5. Step 5: Solve for x
    x = 200,846,746,105,681/6,009,541
  6. Step 6: Final answer
    x = 33,421,312.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.