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Finding the Third Proportional to 32,083,621 and 69,280,814

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Solution

The third proportional to 32,083,621 and 69,280,814 is: 149,603,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083,621 : 69,280,814 = 69,280,814 : x
  2. Step 2: Convert to fraction form
    32,083,621/69,280,814 = 69,280,814/x
  3. Step 3: Cross multiply
    32,083,621x = 69,280,814 × 69,280,814
  4. Step 4: Simplify right side
    32,083,621x = 4,799,831,188,502,596
  5. Step 5: Solve for x
    x = 4,799,831,188,502,596/32,083,621
  6. Step 6: Final answer
    x = 149,603,786.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.