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Finding the Third Proportional to 120,123,654 and 262,266,025

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Solution

The third proportional to 120,123,654 and 262,266,025 is: 572,605,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,123,654 : 262,266,025 = 262,266,025 : x
  2. Step 2: Convert to fraction form
    120,123,654/262,266,025 = 262,266,025/x
  3. Step 3: Cross multiply
    120,123,654x = 262,266,025 × 262,266,025
  4. Step 4: Simplify right side
    120,123,654x = 68,783,467,869,300,624
  5. Step 5: Solve for x
    x = 68,783,467,869,300,624/120,123,654
  6. Step 6: Final answer
    x = 572,605,524.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.