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Finding the Third Proportional to 2,548,377,954 and 6,007,235,377.50

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Solution

The third proportional to 2,548,377,954 and 6,007,235,377.50 is: 14,160,724,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548,377,954 : 6,007,235,377.50 = 6,007,235,377.50 : x
  2. Step 2: Convert to fraction form
    2,548,377,954/6,007,235,377.50 = 6,007,235,377.50/x
  3. Step 3: Cross multiply
    2,548,377,954x = 6,007,235,377.50 × 6,007,235,377.50
  4. Step 4: Simplify right side
    2,548,377,954x = 36,086,876,880,687,566,848
  5. Step 5: Solve for x
    x = 36,086,876,880,687,566,848/2,548,377,954
  6. Step 6: Final answer
    x = 14,160,724,010.36

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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.