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Finding the Third Proportional to 47,349,271,923 and 103,033,922,925

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Solution

The third proportional to 47,349,271,923 and 103,033,922,925 is: 224,205,966,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349,271,923 : 103,033,922,925 = 103,033,922,925 : x
  2. Step 2: Convert to fraction form
    47,349,271,923/103,033,922,925 = 103,033,922,925/x
  3. Step 3: Cross multiply
    47,349,271,923x = 103,033,922,925 × 103,033,922,925
  4. Step 4: Simplify right side
    47,349,271,923x = 10,615,989,273,314,841,329,664
  5. Step 5: Solve for x
    x = 10,615,989,273,314,841,329,664/47,349,271,923
  6. Step 6: Final answer
    x = 224,205,966,473.54

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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.