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Finding the Third Proportional to 6,075,840 and 14,342,592

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Solution

The third proportional to 6,075,840 and 14,342,592 is: 33,857,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075,840 : 14,342,592 = 14,342,592 : x
  2. Step 2: Convert to fraction form
    6,075,840/14,342,592 = 14,342,592/x
  3. Step 3: Cross multiply
    6,075,840x = 14,342,592 × 14,342,592
  4. Step 4: Simplify right side
    6,075,840x = 205,709,945,278,464
  5. Step 5: Solve for x
    x = 205,709,945,278,464/6,075,840
  6. Step 6: Final answer
    x = 33,857,037.92

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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.