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Finding the Third Proportional to 1,215,764,932 and 2,867,111,434

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Solution

The third proportional to 1,215,764,932 and 2,867,111,434 is: 6,761,445,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,764,932 : 2,867,111,434 = 2,867,111,434 : x
  2. Step 2: Convert to fraction form
    1,215,764,932/2,867,111,434 = 2,867,111,434/x
  3. Step 3: Cross multiply
    1,215,764,932x = 2,867,111,434 × 2,867,111,434
  4. Step 4: Simplify right side
    1,215,764,932x = 8,220,327,974,973,536,256
  5. Step 5: Solve for x
    x = 8,220,327,974,973,536,256/1,215,764,932
  6. Step 6: Final answer
    x = 6,761,445,209.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.