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Finding the Third Proportional to 42,414,842 and 65,275,635

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Solution

The third proportional to 42,414,842 and 65,275,635 is: 100,457,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,414,842 : 65,275,635 = 65,275,635 : x
  2. Step 2: Convert to fraction form
    42,414,842/65,275,635 = 65,275,635/x
  3. Step 3: Cross multiply
    42,414,842x = 65,275,635 × 65,275,635
  4. Step 4: Simplify right side
    42,414,842x = 4,260,908,524,653,225
  5. Step 5: Solve for x
    x = 4,260,908,524,653,225/42,414,842
  6. Step 6: Final answer
    x = 100,457,960.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.