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Finding the Third Proportional to 254,337,463 and 547,646,606

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Solution

The third proportional to 254,337,463 and 547,646,606 is: 1,179,208,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,337,463 : 547,646,606 = 547,646,606 : x
  2. Step 2: Convert to fraction form
    254,337,463/547,646,606 = 547,646,606/x
  3. Step 3: Cross multiply
    254,337,463x = 547,646,606 × 547,646,606
  4. Step 4: Simplify right side
    254,337,463x = 299,916,805,063,319,232
  5. Step 5: Solve for x
    x = 299,916,805,063,319,232/254,337,463
  6. Step 6: Final answer
    x = 1,179,208,133.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.