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Finding the Third Proportional to 38,858,415 and 83,769,968

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Solution

The third proportional to 38,858,415 and 83,769,968 is: 180,589,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,858,415 : 83,769,968 = 83,769,968 : x
  2. Step 2: Convert to fraction form
    38,858,415/83,769,968 = 83,769,968/x
  3. Step 3: Cross multiply
    38,858,415x = 83,769,968 × 83,769,968
  4. Step 4: Simplify right side
    38,858,415x = 7,017,407,538,721,024
  5. Step 5: Solve for x
    x = 7,017,407,538,721,024/38,858,415
  6. Step 6: Final answer
    x = 180,589,134.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.