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Finding the Third Proportional to 246,071,200 and 580,874,266

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Solution

The third proportional to 246,071,200 and 580,874,266 is: 1,371,208,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,071,200 : 580,874,266 = 580,874,266 : x
  2. Step 2: Convert to fraction form
    246,071,200/580,874,266 = 580,874,266/x
  3. Step 3: Cross multiply
    246,071,200x = 580,874,266 × 580,874,266
  4. Step 4: Simplify right side
    246,071,200x = 337,414,912,901,038,784
  5. Step 5: Solve for x
    x = 337,414,912,901,038,784/246,071,200
  6. Step 6: Final answer
    x = 1,371,208,466.90

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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.