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Finding the Third Proportional to 214,726,118,150 and 467,151,733,484

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Solution

The third proportional to 214,726,118,150 and 467,151,733,484 is: 1,016,321,367,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,726,118,150 : 467,151,733,484 = 467,151,733,484 : x
  2. Step 2: Convert to fraction form
    214,726,118,150/467,151,733,484 = 467,151,733,484/x
  3. Step 3: Cross multiply
    214,726,118,150x = 467,151,733,484 × 467,151,733,484
  4. Step 4: Simplify right side
    214,726,118,150x = 218,230,742,097,106,166,611,968
  5. Step 5: Solve for x
    x = 218,230,742,097,106,166,611,968/214,726,118,150
  6. Step 6: Final answer
    x = 1,016,321,367,783.76

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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.