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Finding the Third Proportional to 266,156,751 and 579,180,405

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Solution

The third proportional to 266,156,751 and 579,180,405 is: 1,260,347,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,156,751 : 579,180,405 = 579,180,405 : x
  2. Step 2: Convert to fraction form
    266,156,751/579,180,405 = 579,180,405/x
  3. Step 3: Cross multiply
    266,156,751x = 579,180,405 × 579,180,405
  4. Step 4: Simplify right side
    266,156,751x = 335,449,941,535,964,032
  5. Step 5: Solve for x
    x = 335,449,941,535,964,032/266,156,751
  6. Step 6: Final answer
    x = 1,260,347,296.38

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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.