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Finding the Third Proportional to 36,429,828 and 78,913,108

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Solution

The third proportional to 36,429,828 and 78,913,108 is: 170,939,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,429,828 : 78,913,108 = 78,913,108 : x
  2. Step 2: Convert to fraction form
    36,429,828/78,913,108 = 78,913,108/x
  3. Step 3: Cross multiply
    36,429,828x = 78,913,108 × 78,913,108
  4. Step 4: Simplify right side
    36,429,828x = 6,227,278,614,219,664
  5. Step 5: Solve for x
    x = 6,227,278,614,219,664/36,429,828
  6. Step 6: Final answer
    x = 170,939,006.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.