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Finding the Third Proportional to 5,767,562,985 and 11,840,881,692

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Solution

The third proportional to 5,767,562,985 and 11,840,881,692 is: 24,309,483,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767,562,985 : 11,840,881,692 = 11,840,881,692 : x
  2. Step 2: Convert to fraction form
    5,767,562,985/11,840,881,692 = 11,840,881,692/x
  3. Step 3: Cross multiply
    5,767,562,985x = 11,840,881,692 × 11,840,881,692
  4. Step 4: Simplify right side
    5,767,562,985x = 140,206,479,243,940,790,272
  5. Step 5: Solve for x
    x = 140,206,479,243,940,790,272/5,767,562,985
  6. Step 6: Final answer
    x = 24,309,483,851.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.