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Finding the Third Proportional to 65,083,016 and 142,669,840

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Solution

The third proportional to 65,083,016 and 142,669,840 is: 312,749,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083,016 : 142,669,840 = 142,669,840 : x
  2. Step 2: Convert to fraction form
    65,083,016/142,669,840 = 142,669,840/x
  3. Step 3: Cross multiply
    65,083,016x = 142,669,840 × 142,669,840
  4. Step 4: Simplify right side
    65,083,016x = 20,354,683,245,625,600
  5. Step 5: Solve for x
    x = 20,354,683,245,625,600/65,083,016
  6. Step 6: Final answer
    x = 312,749,538.92

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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.