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Finding the Third Proportional to 48,041,519,920 and 103,313,123,374

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Solution

The third proportional to 48,041,519,920 and 103,313,123,374 is: 222,174,516,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,041,519,920 : 103,313,123,374 = 103,313,123,374 : x
  2. Step 2: Convert to fraction form
    48,041,519,920/103,313,123,374 = 103,313,123,374/x
  3. Step 3: Cross multiply
    48,041,519,920x = 103,313,123,374 × 103,313,123,374
  4. Step 4: Simplify right side
    48,041,519,920x = 10,673,601,461,291,344,461,824
  5. Step 5: Solve for x
    x = 10,673,601,461,291,344,461,824/48,041,519,920
  6. Step 6: Final answer
    x = 222,174,516,523.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.