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Finding the Third Proportional to 769,877,537 and 1,580,568,538

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Solution

The third proportional to 769,877,537 and 1,580,568,538 is: 3,244,927,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,877,537 : 1,580,568,538 = 1,580,568,538 : x
  2. Step 2: Convert to fraction form
    769,877,537/1,580,568,538 = 1,580,568,538/x
  3. Step 3: Cross multiply
    769,877,537x = 1,580,568,538 × 1,580,568,538
  4. Step 4: Simplify right side
    769,877,537x = 2,498,196,903,315,457,536
  5. Step 5: Solve for x
    x = 2,498,196,903,315,457,536/769,877,537
  6. Step 6: Final answer
    x = 3,244,927,645.31

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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.