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Finding the Third Proportional to 344,721,456 and 737,218,656

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Solution

The third proportional to 344,721,456 and 737,218,656 is: 1,576,610,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,721,456 : 737,218,656 = 737,218,656 : x
  2. Step 2: Convert to fraction form
    344,721,456/737,218,656 = 737,218,656/x
  3. Step 3: Cross multiply
    344,721,456x = 737,218,656 × 737,218,656
  4. Step 4: Simplify right side
    344,721,456x = 543,491,346,754,446,336
  5. Step 5: Solve for x
    x = 543,491,346,754,446,336/344,721,456
  6. Step 6: Final answer
    x = 1,576,610,150.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.