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Finding the Third Proportional to 48,965,190 and 75,554,505

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Solution

The third proportional to 48,965,190 and 75,554,505 is: 116,582,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,965,190 : 75,554,505 = 75,554,505 : x
  2. Step 2: Convert to fraction form
    48,965,190/75,554,505 = 75,554,505/x
  3. Step 3: Cross multiply
    48,965,190x = 75,554,505 × 75,554,505
  4. Step 4: Simplify right side
    48,965,190x = 5,708,483,225,795,025
  5. Step 5: Solve for x
    x = 5,708,483,225,795,025/48,965,190
  6. Step 6: Final answer
    x = 116,582,478.81

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Why These Related Problems?

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