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Finding the Third Proportional to 344,721,464 and 737,218,672

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Solution

The third proportional to 344,721,464 and 737,218,672 is: 1,576,610,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,721,464 : 737,218,672 = 737,218,672 : x
  2. Step 2: Convert to fraction form
    344,721,464/737,218,672 = 737,218,672/x
  3. Step 3: Cross multiply
    344,721,464x = 737,218,672 × 737,218,672
  4. Step 4: Simplify right side
    344,721,464x = 543,491,370,345,443,584
  5. Step 5: Solve for x
    x = 543,491,370,345,443,584/344,721,464
  6. Step 6: Final answer
    x = 1,576,610,182.72

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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.