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Finding the Third Proportional to 120,123,652 and 262,266,021

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Solution

The third proportional to 120,123,652 and 262,266,021 is: 572,605,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,123,652 : 262,266,021 = 262,266,021 : x
  2. Step 2: Convert to fraction form
    120,123,652/262,266,021 = 262,266,021/x
  3. Step 3: Cross multiply
    120,123,652x = 262,266,021 × 262,266,021
  4. Step 4: Simplify right side
    120,123,652x = 68,783,465,771,172,440
  5. Step 5: Solve for x
    x = 68,783,465,771,172,440/120,123,652
  6. Step 6: Final answer
    x = 572,605,516.28

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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.