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Finding the Third Proportional to 38,138,490 and 83,407,194

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Solution

The third proportional to 38,138,490 and 83,407,194 is: 182,407,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138,490 : 83,407,194 = 83,407,194 : x
  2. Step 2: Convert to fraction form
    38,138,490/83,407,194 = 83,407,194/x
  3. Step 3: Cross multiply
    38,138,490x = 83,407,194 × 83,407,194
  4. Step 4: Simplify right side
    38,138,490x = 6,956,760,010,953,636
  5. Step 5: Solve for x
    x = 6,956,760,010,953,636/38,138,490
  6. Step 6: Final answer
    x = 182,407,851.25

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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.