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Finding the Third Proportional to 36,426,434 and 77,572,108

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Solution

The third proportional to 36,426,434 and 77,572,108 is: 165,194,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,426,434 : 77,572,108 = 77,572,108 : x
  2. Step 2: Convert to fraction form
    36,426,434/77,572,108 = 77,572,108/x
  3. Step 3: Cross multiply
    36,426,434x = 77,572,108 × 77,572,108
  4. Step 4: Simplify right side
    36,426,434x = 6,017,431,939,563,664
  5. Step 5: Solve for x
    x = 6,017,431,939,563,664/36,426,434
  6. Step 6: Final answer
    x = 165,194,098.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.