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Finding the Third Proportional to 8,739,697,992 and 12,777,744,012

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Solution

The third proportional to 8,739,697,992 and 12,777,744,012 is: 18,681,508,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739,697,992 : 12,777,744,012 = 12,777,744,012 : x
  2. Step 2: Convert to fraction form
    8,739,697,992/12,777,744,012 = 12,777,744,012/x
  3. Step 3: Cross multiply
    8,739,697,992x = 12,777,744,012 × 12,777,744,012
  4. Step 4: Simplify right side
    8,739,697,992x = 163,270,742,036,201,865,216
  5. Step 5: Solve for x
    x = 163,270,742,036,201,865,216/8,739,697,992
  6. Step 6: Final answer
    x = 18,681,508,466.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.