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Finding the Third Proportional to 35,231,984 and 77,392,384

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Solution

The third proportional to 35,231,984 and 77,392,384 is: 170,004,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,231,984 : 77,392,384 = 77,392,384 : x
  2. Step 2: Convert to fraction form
    35,231,984/77,392,384 = 77,392,384/x
  3. Step 3: Cross multiply
    35,231,984x = 77,392,384 × 77,392,384
  4. Step 4: Simplify right side
    35,231,984x = 5,989,581,101,203,456
  5. Step 5: Solve for x
    x = 5,989,581,101,203,456/35,231,984
  6. Step 6: Final answer
    x = 170,004,082.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.