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Finding the Third Proportional to 3,148,620,922 and 7,289,250,433

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Solution

The third proportional to 3,148,620,922 and 7,289,250,433 is: 16,875,061,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,620,922 : 7,289,250,433 = 7,289,250,433 : x
  2. Step 2: Convert to fraction form
    3,148,620,922/7,289,250,433 = 7,289,250,433/x
  3. Step 3: Cross multiply
    3,148,620,922x = 7,289,250,433 × 7,289,250,433
  4. Step 4: Simplify right side
    3,148,620,922x = 53,133,171,874,990,686,208
  5. Step 5: Solve for x
    x = 53,133,171,874,990,686,208/3,148,620,922
  6. Step 6: Final answer
    x = 16,875,061,555.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.