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Finding the Third Proportional to 2,123,695,836 and 3,215,052,944

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Solution

The third proportional to 2,123,695,836 and 3,215,052,944 is: 4,867,253,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,695,836 : 3,215,052,944 = 3,215,052,944 : x
  2. Step 2: Convert to fraction form
    2,123,695,836/3,215,052,944 = 3,215,052,944/x
  3. Step 3: Cross multiply
    2,123,695,836x = 3,215,052,944 × 3,215,052,944
  4. Step 4: Simplify right side
    2,123,695,836x = 10,336,565,432,723,066,880
  5. Step 5: Solve for x
    x = 10,336,565,432,723,066,880/2,123,695,836
  6. Step 6: Final answer
    x = 4,867,253,237.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.