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Finding the Third Proportional to 6,075,872 and 14,342,676

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Solution

The third proportional to 6,075,872 and 14,342,676 is: 33,857,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075,872 : 14,342,676 = 14,342,676 : x
  2. Step 2: Convert to fraction form
    6,075,872/14,342,676 = 14,342,676/x
  3. Step 3: Cross multiply
    6,075,872x = 14,342,676 × 14,342,676
  4. Step 4: Simplify right side
    6,075,872x = 205,712,354,840,976
  5. Step 5: Solve for x
    x = 205,712,354,840,976/6,075,872
  6. Step 6: Final answer
    x = 33,857,256.18

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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.