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Finding the Third Proportional to 8,527,078,941 and 19,014,809,670

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Solution

The third proportional to 8,527,078,941 and 19,014,809,670 is: 42,401,740,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527,078,941 : 19,014,809,670 = 19,014,809,670 : x
  2. Step 2: Convert to fraction form
    8,527,078,941/19,014,809,670 = 19,014,809,670/x
  3. Step 3: Cross multiply
    8,527,078,941x = 19,014,809,670 × 19,014,809,670
  4. Step 4: Simplify right side
    8,527,078,941x = 361,562,986,786,325,528,576
  5. Step 5: Solve for x
    x = 361,562,986,786,325,528,576/8,527,078,941
  6. Step 6: Final answer
    x = 42,401,740,301.46

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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.