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Finding the Third Proportional to 32,083,619 and 69,280,810

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Solution

The third proportional to 32,083,619 and 69,280,810 is: 149,603,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083,619 : 69,280,810 = 69,280,810 : x
  2. Step 2: Convert to fraction form
    32,083,619/69,280,810 = 69,280,810/x
  3. Step 3: Cross multiply
    32,083,619x = 69,280,810 × 69,280,810
  4. Step 4: Simplify right side
    32,083,619x = 4,799,830,634,256,100
  5. Step 5: Solve for x
    x = 4,799,830,634,256,100/32,083,619
  6. Step 6: Final answer
    x = 149,603,778.62

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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.