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Finding the Third Proportional to 8,527,078,942 and 19,014,809,672

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Solution

The third proportional to 8,527,078,942 and 19,014,809,672 is: 42,401,740,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527,078,942 : 19,014,809,672 = 19,014,809,672 : x
  2. Step 2: Convert to fraction form
    8,527,078,942/19,014,809,672 = 19,014,809,672/x
  3. Step 3: Cross multiply
    8,527,078,942x = 19,014,809,672 × 19,014,809,672
  4. Step 4: Simplify right side
    8,527,078,942x = 361,562,986,862,384,775,168
  5. Step 5: Solve for x
    x = 361,562,986,862,384,775,168/8,527,078,942
  6. Step 6: Final answer
    x = 42,401,740,305.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.