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Finding the Third Proportional to 266,627,382 and 415,529,553

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Solution

The third proportional to 266,627,382 and 415,529,553 is: 647,588,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,627,382 : 415,529,553 = 415,529,553 : x
  2. Step 2: Convert to fraction form
    266,627,382/415,529,553 = 415,529,553/x
  3. Step 3: Cross multiply
    266,627,382x = 415,529,553 × 415,529,553
  4. Step 4: Simplify right side
    266,627,382x = 172,664,809,416,379,808
  5. Step 5: Solve for x
    x = 172,664,809,416,379,808/266,627,382
  6. Step 6: Final answer
    x = 647,588,436.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.