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Finding the Third Proportional to 38,138,418 and 83,407,050

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Solution

The third proportional to 38,138,418 and 83,407,050 is: 182,407,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138,418 : 83,407,050 = 83,407,050 : x
  2. Step 2: Convert to fraction form
    38,138,418/83,407,050 = 83,407,050/x
  3. Step 3: Cross multiply
    38,138,418x = 83,407,050 × 83,407,050
  4. Step 4: Simplify right side
    38,138,418x = 6,956,735,989,702,500
  5. Step 5: Solve for x
    x = 6,956,735,989,702,500/38,138,418
  6. Step 6: Final answer
    x = 182,407,565.77

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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.