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Finding the Third Proportional to 1,228,016,302 and 2,671,194,028

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Solution

The third proportional to 1,228,016,302 and 2,671,194,028 is: 5,810,409,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,016,302 : 2,671,194,028 = 2,671,194,028 : x
  2. Step 2: Convert to fraction form
    1,228,016,302/2,671,194,028 = 2,671,194,028/x
  3. Step 3: Cross multiply
    1,228,016,302x = 2,671,194,028 × 2,671,194,028
  4. Step 4: Simplify right side
    1,228,016,302x = 7,135,277,535,222,864,896
  5. Step 5: Solve for x
    x = 7,135,277,535,222,864,896/1,228,016,302
  6. Step 6: Final answer
    x = 5,810,409,457.60

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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.