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Finding the Third Proportional to 51,174,072 and 120,804,588

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Solution

The third proportional to 51,174,072 and 120,804,588 is: 285,178,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,174,072 : 120,804,588 = 120,804,588 : x
  2. Step 2: Convert to fraction form
    51,174,072/120,804,588 = 120,804,588/x
  3. Step 3: Cross multiply
    51,174,072x = 120,804,588 × 120,804,588
  4. Step 4: Simplify right side
    51,174,072x = 14,593,748,481,849,744
  5. Step 5: Solve for x
    x = 14,593,748,481,849,744/51,174,072
  6. Step 6: Final answer
    x = 285,178,566.24

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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.