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Finding the Third Proportional to 47,349,271,917 and 103,033,922,913

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Solution

The third proportional to 47,349,271,917 and 103,033,922,913 is: 224,205,966,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349,271,917 : 103,033,922,913 = 103,033,922,913 : x
  2. Step 2: Convert to fraction form
    47,349,271,917/103,033,922,913 = 103,033,922,913/x
  3. Step 3: Cross multiply
    47,349,271,917x = 103,033,922,913 × 103,033,922,913
  4. Step 4: Simplify right side
    47,349,271,917x = 10,615,989,270,842,026,491,904
  5. Step 5: Solve for x
    x = 10,615,989,270,842,026,491,904/47,349,271,917
  6. Step 6: Final answer
    x = 224,205,966,449.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.