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Finding the Third Proportional to 1,215,764,947 and 2,867,111,471

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Solution

The third proportional to 1,215,764,947 and 2,867,111,471 is: 6,761,445,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,764,947 : 2,867,111,471 = 2,867,111,471 : x
  2. Step 2: Convert to fraction form
    1,215,764,947/2,867,111,471 = 2,867,111,471/x
  3. Step 3: Cross multiply
    1,215,764,947x = 2,867,111,471 × 2,867,111,471
  4. Step 4: Simplify right side
    1,215,764,947x = 8,220,328,187,139,783,680
  5. Step 5: Solve for x
    x = 8,220,328,187,139,783,680/1,215,764,947
  6. Step 6: Final answer
    x = 6,761,445,300.28

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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.