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Finding the Third Proportional to 9,679,643,825 and 20,830,274,614

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Solution

The third proportional to 9,679,643,825 and 20,830,274,614 is: 44,826,064,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679,643,825 : 20,830,274,614 = 20,830,274,614 : x
  2. Step 2: Convert to fraction form
    9,679,643,825/20,830,274,614 = 20,830,274,614/x
  3. Step 3: Cross multiply
    9,679,643,825x = 20,830,274,614 × 20,830,274,614
  4. Step 4: Simplify right side
    9,679,643,825x = 433,900,340,494,652,866,560
  5. Step 5: Solve for x
    x = 433,900,340,494,652,866,560/9,679,643,825
  6. Step 6: Final answer
    x = 44,826,064,712.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.