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Finding the Third Proportional to 48,115,378 and 69,518,427

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Solution

The third proportional to 48,115,378 and 69,518,427 is: 100,442,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,115,378 : 69,518,427 = 69,518,427 : x
  2. Step 2: Convert to fraction form
    48,115,378/69,518,427 = 69,518,427/x
  3. Step 3: Cross multiply
    48,115,378x = 69,518,427 × 69,518,427
  4. Step 4: Simplify right side
    48,115,378x = 4,832,811,692,554,329
  5. Step 5: Solve for x
    x = 4,832,811,692,554,329/48,115,378
  6. Step 6: Final answer
    x = 100,442,143.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.