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Finding the Third Proportional to 5,075,106 and 11,976,733

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Solution

The third proportional to 5,075,106 and 11,976,733 is: 28,263,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075,106 : 11,976,733 = 11,976,733 : x
  2. Step 2: Convert to fraction form
    5,075,106/11,976,733 = 11,976,733/x
  3. Step 3: Cross multiply
    5,075,106x = 11,976,733 × 11,976,733
  4. Step 4: Simplify right side
    5,075,106x = 143,442,133,353,289
  5. Step 5: Solve for x
    x = 143,442,133,353,289/5,075,106
  6. Step 6: Final answer
    x = 28,263,869.44

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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.