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Finding the Third Proportional to 1,415,525,361 and 2,123,288,223

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Solution

The third proportional to 1,415,525,361 and 2,123,288,223 is: 3,184,932,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,525,361 : 2,123,288,223 = 2,123,288,223 : x
  2. Step 2: Convert to fraction form
    1,415,525,361/2,123,288,223 = 2,123,288,223/x
  3. Step 3: Cross multiply
    1,415,525,361x = 2,123,288,223 × 2,123,288,223
  4. Step 4: Simplify right side
    1,415,525,361x = 4,508,352,877,930,497,536
  5. Step 5: Solve for x
    x = 4,508,352,877,930,497,536/1,415,525,361
  6. Step 6: Final answer
    x = 3,184,932,606.75

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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.