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Finding the Third Proportional to 1,415,525,357 and 2,123,288,218

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Solution

The third proportional to 1,415,525,357 and 2,123,288,218 is: 3,184,932,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,525,357 : 2,123,288,218 = 2,123,288,218 : x
  2. Step 2: Convert to fraction form
    1,415,525,357/2,123,288,218 = 2,123,288,218/x
  3. Step 3: Cross multiply
    1,415,525,357x = 2,123,288,218 × 2,123,288,218
  4. Step 4: Simplify right side
    1,415,525,357x = 4,508,352,856,697,615,360
  5. Step 5: Solve for x
    x = 4,508,352,856,697,615,360/1,415,525,357
  6. Step 6: Final answer
    x = 3,184,932,600.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.