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Finding the Third Proportional to 38,099,464 and 83,598,094

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Solution

The third proportional to 38,099,464 and 83,598,094 is: 183,431,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099,464 : 83,598,094 = 83,598,094 : x
  2. Step 2: Convert to fraction form
    38,099,464/83,598,094 = 83,598,094/x
  3. Step 3: Cross multiply
    38,099,464x = 83,598,094 × 83,598,094
  4. Step 4: Simplify right side
    38,099,464x = 6,988,641,320,432,836
  5. Step 5: Solve for x
    x = 6,988,641,320,432,836/38,099,464
  6. Step 6: Final answer
    x = 183,431,486.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.