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Finding the Third Proportional to 790,768,108 and 1,646,987,624

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Solution

The third proportional to 790,768,108 and 1,646,987,624 is: 3,430,295,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,768,108 : 1,646,987,624 = 1,646,987,624 : x
  2. Step 2: Convert to fraction form
    790,768,108/1,646,987,624 = 1,646,987,624/x
  3. Step 3: Cross multiply
    790,768,108x = 1,646,987,624 × 1,646,987,624
  4. Step 4: Simplify right side
    790,768,108x = 2,712,568,233,609,165,312
  5. Step 5: Solve for x
    x = 2,712,568,233,609,165,312/790,768,108
  6. Step 6: Final answer
    x = 3,430,295,438.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.