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Finding the Third Proportional to 36,794,472 and 77,402,160

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Solution

The third proportional to 36,794,472 and 77,402,160 is: 162,825,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,794,472 : 77,402,160 = 77,402,160 : x
  2. Step 2: Convert to fraction form
    36,794,472/77,402,160 = 77,402,160/x
  3. Step 3: Cross multiply
    36,794,472x = 77,402,160 × 77,402,160
  4. Step 4: Simplify right side
    36,794,472x = 5,991,094,372,665,600
  5. Step 5: Solve for x
    x = 5,991,094,372,665,600/36,794,472
  6. Step 6: Final answer
    x = 162,825,936.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.