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Finding the Third Proportional to 48,928,342,880 and 105,334,459,979

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Solution

The third proportional to 48,928,342,880 and 105,334,459,979 is: 226,767,305,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,928,342,880 : 105,334,459,979 = 105,334,459,979 : x
  2. Step 2: Convert to fraction form
    48,928,342,880/105,334,459,979 = 105,334,459,979/x
  3. Step 3: Cross multiply
    48,928,342,880x = 105,334,459,979 × 105,334,459,979
  4. Step 4: Simplify right side
    48,928,342,880x = 11,095,348,459,067,553,087,488
  5. Step 5: Solve for x
    x = 11,095,348,459,067,553,087,488/48,928,342,880
  6. Step 6: Final answer
    x = 226,767,305,123.73

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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.