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Finding the Third Proportional to 48,831,173,050 and 104,727,729,656

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Solution

The third proportional to 48,831,173,050 and 104,727,729,656 is: 224,608,516,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,831,173,050 : 104,727,729,656 = 104,727,729,656 : x
  2. Step 2: Convert to fraction form
    48,831,173,050/104,727,729,656 = 104,727,729,656/x
  3. Step 3: Cross multiply
    48,831,173,050x = 104,727,729,656 × 104,727,729,656
  4. Step 4: Simplify right side
    48,831,173,050x = 10,967,897,358,900,221,968,384
  5. Step 5: Solve for x
    x = 10,967,897,358,900,221,968,384/48,831,173,050
  6. Step 6: Final answer
    x = 224,608,516,933.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.