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Finding the Third Proportional to 32,083,596 and 69,280,762

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Solution

The third proportional to 32,083,596 and 69,280,762 is: 149,603,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083,596 : 69,280,762 = 69,280,762 : x
  2. Step 2: Convert to fraction form
    32,083,596/69,280,762 = 69,280,762/x
  3. Step 3: Cross multiply
    32,083,596x = 69,280,762 × 69,280,762
  4. Step 4: Simplify right side
    32,083,596x = 4,799,823,983,300,644
  5. Step 5: Solve for x
    x = 4,799,823,983,300,644/32,083,596
  6. Step 6: Final answer
    x = 149,603,678.57

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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.