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Finding the Third Proportional to 51,071,994 and 71,664,126.75

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Solution

The third proportional to 51,071,994 and 71,664,126.75 is: 100,558,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,071,994 : 71,664,126.75 = 71,664,126.75 : x
  2. Step 2: Convert to fraction form
    51,071,994/71,664,126.75 = 71,664,126.75/x
  3. Step 3: Cross multiply
    51,071,994x = 71,664,126.75 × 71,664,126.75
  4. Step 4: Simplify right side
    51,071,994x = 5,135,747,062,840,066
  5. Step 5: Solve for x
    x = 5,135,747,062,840,066/51,071,994
  6. Step 6: Final answer
    x = 100,558,969.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.