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Finding the Third Proportional to 9,929,811,711 and 21,603,001,974

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Solution

The third proportional to 9,929,811,711 and 21,603,001,974 is: 46,998,846,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929,811,711 : 21,603,001,974 = 21,603,001,974 : x
  2. Step 2: Convert to fraction form
    9,929,811,711/21,603,001,974 = 21,603,001,974/x
  3. Step 3: Cross multiply
    9,929,811,711x = 21,603,001,974 × 21,603,001,974
  4. Step 4: Simplify right side
    9,929,811,711x = 466,689,694,288,647,880,704
  5. Step 5: Solve for x
    x = 466,689,694,288,647,880,704/9,929,811,711
  6. Step 6: Final answer
    x = 46,998,846,289.47

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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.