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Finding the Third Proportional to 30,665,148 and 65,585,118

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Solution

The third proportional to 30,665,148 and 65,585,118 is: 140,270,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665,148 : 65,585,118 = 65,585,118 : x
  2. Step 2: Convert to fraction form
    30,665,148/65,585,118 = 65,585,118/x
  3. Step 3: Cross multiply
    30,665,148x = 65,585,118 × 65,585,118
  4. Step 4: Simplify right side
    30,665,148x = 4,301,407,703,073,924
  5. Step 5: Solve for x
    x = 4,301,407,703,073,924/30,665,148
  6. Step 6: Final answer
    x = 140,270,241.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.