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Finding the Third Proportional to 2,655,432,729 and 5,791,436,838

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Solution

The third proportional to 2,655,432,729 and 5,791,436,838 is: 12,630,988,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655,432,729 : 5,791,436,838 = 5,791,436,838 : x
  2. Step 2: Convert to fraction form
    2,655,432,729/5,791,436,838 = 5,791,436,838/x
  3. Step 3: Cross multiply
    2,655,432,729x = 5,791,436,838 × 5,791,436,838
  4. Step 4: Simplify right side
    2,655,432,729x = 33,540,740,648,543,436,800
  5. Step 5: Solve for x
    x = 33,540,740,648,543,436,800/2,655,432,729
  6. Step 6: Final answer
    x = 12,630,988,645.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.