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Finding the Third Proportional to 1,581,540,782 and 3,293,982,964

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Solution

The third proportional to 1,581,540,782 and 3,293,982,964 is: 6,860,603,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,540,782 : 3,293,982,964 = 3,293,982,964 : x
  2. Step 2: Convert to fraction form
    1,581,540,782/3,293,982,964 = 3,293,982,964/x
  3. Step 3: Cross multiply
    1,581,540,782x = 3,293,982,964 × 3,293,982,964
  4. Step 4: Simplify right side
    1,581,540,782x = 10,850,323,767,122,225,152
  5. Step 5: Solve for x
    x = 10,850,323,767,122,225,152/1,581,540,782
  6. Step 6: Final answer
    x = 6,860,603,210.88

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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.