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Finding the Third Proportional to 4,238,921,541,807 and 9,245,043,271,674

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Solution

The third proportional to 4,238,921,541,807 and 9,245,043,271,674 is: 20,163,342,079,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238,921,541,807 : 9,245,043,271,674 = 9,245,043,271,674 : x
  2. Step 2: Convert to fraction form
    4,238,921,541,807/9,245,043,271,674 = 9,245,043,271,674/x
  3. Step 3: Cross multiply
    4,238,921,541,807x = 9,245,043,271,674 × 9,245,043,271,674
  4. Step 4: Simplify right side
    4,238,921,541,807x = 85,470,825,095,124,696,763,990,016
  5. Step 5: Solve for x
    x = 85,470,825,095,124,696,763,990,016/4,238,921,541,807
  6. Step 6: Final answer
    x = 20,163,342,079,384.07

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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.