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Finding the Third Proportional to 8,038,016,720 and 10,856,659,384

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Solution

The third proportional to 8,038,016,720 and 10,856,659,384 is: 14,663,698,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038,016,720 : 10,856,659,384 = 10,856,659,384 : x
  2. Step 2: Convert to fraction form
    8,038,016,720/10,856,659,384 = 10,856,659,384/x
  3. Step 3: Cross multiply
    8,038,016,720x = 10,856,659,384 × 10,856,659,384
  4. Step 4: Simplify right side
    8,038,016,720x = 117,867,052,980,195,262,464
  5. Step 5: Solve for x
    x = 117,867,052,980,195,262,464/8,038,016,720
  6. Step 6: Final answer
    x = 14,663,698,407.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.