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Finding the Third Proportional to 6,047,640,967.92 and 8,408,761,357.36

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Solution

The third proportional to 6,047,640,967.92 and 8,408,761,357.36 is: 11,691,710,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047,640,967.92 : 8,408,761,357.36 = 8,408,761,357.36 : x
  2. Step 2: Convert to fraction form
    6,047,640,967.92/8,408,761,357.36 = 8,408,761,357.36/x
  3. Step 3: Cross multiply
    6,047,640,967.92x = 8,408,761,357.36 × 8,408,761,357.36
  4. Step 4: Simplify right side
    6,047,640,967.92x = 70,707,267,565,019,013,120
  5. Step 5: Solve for x
    x = 70,707,267,565,019,013,120/6,047,640,967.92
  6. Step 6: Final answer
    x = 11,691,710,526.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.