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Finding the Third Proportional to 1,856,771,883 and 2,777,796,072

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Solution

The third proportional to 1,856,771,883 and 2,777,796,072 is: 4,155,680,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856,771,883 : 2,777,796,072 = 2,777,796,072 : x
  2. Step 2: Convert to fraction form
    1,856,771,883/2,777,796,072 = 2,777,796,072/x
  3. Step 3: Cross multiply
    1,856,771,883x = 2,777,796,072 × 2,777,796,072
  4. Step 4: Simplify right side
    1,856,771,883x = 7,716,151,017,618,629,632
  5. Step 5: Solve for x
    x = 7,716,151,017,618,629,632/1,856,771,883
  6. Step 6: Final answer
    x = 4,155,680,667.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.