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Finding the Third Proportional to 867,303,920.81 and 1,321,282,679.34

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Solution

The third proportional to 867,303,920.81 and 1,321,282,679.34 is: 2,012,890,610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,303,920.81 : 1,321,282,679.34 = 1,321,282,679.34 : x
  2. Step 2: Convert to fraction form
    867,303,920.81/1,321,282,679.34 = 1,321,282,679.34/x
  3. Step 3: Cross multiply
    867,303,920.81x = 1,321,282,679.34 × 1,321,282,679.34
  4. Step 4: Simplify right side
    867,303,920.81x = 1,745,787,918,733,666,560
  5. Step 5: Solve for x
    x = 1,745,787,918,733,666,560/867,303,920.81
  6. Step 6: Final answer
    x = 2,012,890,610.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.