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Finding the Third Proportional to 12,008,784 and 17,695,544

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Solution

The third proportional to 12,008,784 and 17,695,544 is: 26,075,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008,784 : 17,695,544 = 17,695,544 : x
  2. Step 2: Convert to fraction form
    12,008,784/17,695,544 = 17,695,544/x
  3. Step 3: Cross multiply
    12,008,784x = 17,695,544 × 17,695,544
  4. Step 4: Simplify right side
    12,008,784x = 313,132,277,455,936
  5. Step 5: Solve for x
    x = 313,132,277,455,936/12,008,784
  6. Step 6: Final answer
    x = 26,075,269.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.