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Finding the Third Proportional to 5,831,395.50 and 8,632,315.50

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Solution

The third proportional to 5,831,395.50 and 8,632,315.50 is: 12,778,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831,395.50 : 8,632,315.50 = 8,632,315.50 : x
  2. Step 2: Convert to fraction form
    5,831,395.50/8,632,315.50 = 8,632,315.50/x
  3. Step 3: Cross multiply
    5,831,395.50x = 8,632,315.50 × 8,632,315.50
  4. Step 4: Simplify right side
    5,831,395.50x = 74,516,870,891,540.25
  5. Step 5: Solve for x
    x = 74,516,870,891,540.25/5,831,395.50
  6. Step 6: Final answer
    x = 12,778,565.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.