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Finding the Third Proportional to 38,632,064 and 81,869,248

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Solution

The third proportional to 38,632,064 and 81,869,248 is: 173,497,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,632,064 : 81,869,248 = 81,869,248 : x
  2. Step 2: Convert to fraction form
    38,632,064/81,869,248 = 81,869,248/x
  3. Step 3: Cross multiply
    38,632,064x = 81,869,248 × 81,869,248
  4. Step 4: Simplify right side
    38,632,064x = 6,702,573,768,085,504
  5. Step 5: Solve for x
    x = 6,702,573,768,085,504/38,632,064
  6. Step 6: Final answer
    x = 173,497,687.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.