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Finding the Third Proportional to 769,877,146.13 and 1,580,567,817.94

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Solution

The third proportional to 769,877,146.13 and 1,580,567,817.94 is: 3,244,926,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,877,146.13 : 1,580,567,817.94 = 1,580,567,817.94 : x
  2. Step 2: Convert to fraction form
    769,877,146.13/1,580,567,817.94 = 1,580,567,817.94/x
  3. Step 3: Cross multiply
    769,877,146.13x = 1,580,567,817.94 × 1,580,567,817.94
  4. Step 4: Simplify right side
    769,877,146.13x = 2,498,194,627,099,709,952
  5. Step 5: Solve for x
    x = 2,498,194,627,099,709,952/769,877,146.13
  6. Step 6: Final answer
    x = 3,244,926,336.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.