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Finding the Third Proportional to 5,400,388 and 7,596,326

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Solution

The third proportional to 5,400,388 and 7,596,326 is: 10,685,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400,388 : 7,596,326 = 7,596,326 : x
  2. Step 2: Convert to fraction form
    5,400,388/7,596,326 = 7,596,326/x
  3. Step 3: Cross multiply
    5,400,388x = 7,596,326 × 7,596,326
  4. Step 4: Simplify right side
    5,400,388x = 57,704,168,698,276
  5. Step 5: Solve for x
    x = 57,704,168,698,276/5,400,388
  6. Step 6: Final answer
    x = 10,685,189.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.