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Finding the Third Proportional to 854,171,082 and 1,331,196,066

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Solution

The third proportional to 854,171,082 and 1,331,196,066 is: 2,074,622,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,171,082 : 1,331,196,066 = 1,331,196,066 : x
  2. Step 2: Convert to fraction form
    854,171,082/1,331,196,066 = 1,331,196,066/x
  3. Step 3: Cross multiply
    854,171,082x = 1,331,196,066 × 1,331,196,066
  4. Step 4: Simplify right side
    854,171,082x = 1,772,082,966,133,876,480
  5. Step 5: Solve for x
    x = 1,772,082,966,133,876,480/854,171,082
  6. Step 6: Final answer
    x = 2,074,622,992.37

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Why These Related Problems?

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