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Finding the Third Proportional to 48,426,171,982.50 and 68,165,004,988

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Solution

The third proportional to 48,426,171,982.50 and 68,165,004,988 is: 95,949,518,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,426,171,982.50 : 68,165,004,988 = 68,165,004,988 : x
  2. Step 2: Convert to fraction form
    48,426,171,982.50/68,165,004,988 = 68,165,004,988/x
  3. Step 3: Cross multiply
    48,426,171,982.50x = 68,165,004,988 × 68,165,004,988
  4. Step 4: Simplify right side
    48,426,171,982.50x = 4,646,467,905,014,065,004,544
  5. Step 5: Solve for x
    x = 4,646,467,905,014,065,004,544/48,426,171,982.50
  6. Step 6: Final answer
    x = 95,949,518,923.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.