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Finding the Third Proportional to 2,581,436,786 and 3,902,888,521

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Solution

The third proportional to 2,581,436,786 and 3,902,888,521 is: 5,900,798,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,436,786 : 3,902,888,521 = 3,902,888,521 : x
  2. Step 2: Convert to fraction form
    2,581,436,786/3,902,888,521 = 3,902,888,521/x
  3. Step 3: Cross multiply
    2,581,436,786x = 3,902,888,521 × 3,902,888,521
  4. Step 4: Simplify right side
    2,581,436,786x = 15,232,538,807,353,567,232
  5. Step 5: Solve for x
    x = 15,232,538,807,353,567,232/2,581,436,786
  6. Step 6: Final answer
    x = 5,900,798,690.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.