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Finding the Third Proportional to 732,877,069 and 1,597,440,698

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Solution

The third proportional to 732,877,069 and 1,597,440,698 is: 3,481,916,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,877,069 : 1,597,440,698 = 1,597,440,698 : x
  2. Step 2: Convert to fraction form
    732,877,069/1,597,440,698 = 1,597,440,698/x
  3. Step 3: Cross multiply
    732,877,069x = 1,597,440,698 × 1,597,440,698
  4. Step 4: Simplify right side
    732,877,069x = 2,551,816,783,626,727,424
  5. Step 5: Solve for x
    x = 2,551,816,783,626,727,424/732,877,069
  6. Step 6: Final answer
    x = 3,481,916,533.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.