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Finding the Third Proportional to 32,083,615 and 69,280,802

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Solution

The third proportional to 32,083,615 and 69,280,802 is: 149,603,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083,615 : 69,280,802 = 69,280,802 : x
  2. Step 2: Convert to fraction form
    32,083,615/69,280,802 = 69,280,802/x
  3. Step 3: Cross multiply
    32,083,615x = 69,280,802 × 69,280,802
  4. Step 4: Simplify right side
    32,083,615x = 4,799,829,525,763,204
  5. Step 5: Solve for x
    x = 4,799,829,525,763,204/32,083,615
  6. Step 6: Final answer
    x = 149,603,762.72

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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.