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Finding the Third Proportional to 214,726,118,148 and 467,151,733,480

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Solution

The third proportional to 214,726,118,148 and 467,151,733,480 is: 1,016,321,367,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,726,118,148 : 467,151,733,480 = 467,151,733,480 : x
  2. Step 2: Convert to fraction form
    214,726,118,148/467,151,733,480 = 467,151,733,480/x
  3. Step 3: Cross multiply
    214,726,118,148x = 467,151,733,480 × 467,151,733,480
  4. Step 4: Simplify right side
    214,726,118,148x = 218,230,742,093,368,941,084,672
  5. Step 5: Solve for x
    x = 218,230,742,093,368,941,084,672/214,726,118,148
  6. Step 6: Final answer
    x = 1,016,321,367,775.83

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