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Finding the Third Proportional to 3,985,693,077 and 8,562,875,829

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Solution

The third proportional to 3,985,693,077 and 8,562,875,829 is: 18,396,509,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,693,077 : 8,562,875,829 = 8,562,875,829 : x
  2. Step 2: Convert to fraction form
    3,985,693,077/8,562,875,829 = 8,562,875,829/x
  3. Step 3: Cross multiply
    3,985,693,077x = 8,562,875,829 × 8,562,875,829
  4. Step 4: Simplify right side
    3,985,693,077x = 73,322,842,462,872,436,736
  5. Step 5: Solve for x
    x = 73,322,842,462,872,436,736/3,985,693,077
  6. Step 6: Final answer
    x = 18,396,509,978.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.