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Finding the Third Proportional to 2,549,323,035.75 and 5,486,066,676

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Solution

The third proportional to 2,549,323,035.75 and 5,486,066,676 is: 11,805,850,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549,323,035.75 : 5,486,066,676 = 5,486,066,676 : x
  2. Step 2: Convert to fraction form
    2,549,323,035.75/5,486,066,676 = 5,486,066,676/x
  3. Step 3: Cross multiply
    2,549,323,035.75x = 5,486,066,676 × 5,486,066,676
  4. Step 4: Simplify right side
    2,549,323,035.75x = 30,096,927,573,517,688,832
  5. Step 5: Solve for x
    x = 30,096,927,573,517,688,832/2,549,323,035.75
  6. Step 6: Final answer
    x = 11,805,850,867.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.