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Finding the Third Proportional to 12,008,770 and 17,695,523

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Solution

The third proportional to 12,008,770 and 17,695,523 is: 26,075,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008,770 : 17,695,523 = 17,695,523 : x
  2. Step 2: Convert to fraction form
    12,008,770/17,695,523 = 17,695,523/x
  3. Step 3: Cross multiply
    12,008,770x = 17,695,523 × 17,695,523
  4. Step 4: Simplify right side
    12,008,770x = 313,131,534,243,529
  5. Step 5: Solve for x
    x = 313,131,534,243,529/12,008,770
  6. Step 6: Final answer
    x = 26,075,237.87

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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.