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Finding the Third Proportional to 344,721,480 and 737,218,704

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Solution

The third proportional to 344,721,480 and 737,218,704 is: 1,576,610,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,721,480 : 737,218,704 = 737,218,704 : x
  2. Step 2: Convert to fraction form
    344,721,480/737,218,704 = 737,218,704/x
  3. Step 3: Cross multiply
    344,721,480x = 737,218,704 × 737,218,704
  4. Step 4: Simplify right side
    344,721,480x = 543,491,417,527,439,616
  5. Step 5: Solve for x
    x = 543,491,417,527,439,616/344,721,480
  6. Step 6: Final answer
    x = 1,576,610,246.42

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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.