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Finding the Third Proportional to 38,099,478 and 83,598,122

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Solution

The third proportional to 38,099,478 and 83,598,122 is: 183,431,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099,478 : 83,598,122 = 83,598,122 : x
  2. Step 2: Convert to fraction form
    38,099,478/83,598,122 = 83,598,122/x
  3. Step 3: Cross multiply
    38,099,478x = 83,598,122 × 83,598,122
  4. Step 4: Simplify right side
    38,099,478x = 6,988,646,001,926,884
  5. Step 5: Solve for x
    x = 6,988,646,001,926,884/38,099,478
  6. Step 6: Final answer
    x = 183,431,542.08

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