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Finding the Third Proportional to 50,207,946 and 77,584,064

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Solution

The third proportional to 50,207,946 and 77,584,064 is: 119,887,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207,946 : 77,584,064 = 77,584,064 : x
  2. Step 2: Convert to fraction form
    50,207,946/77,584,064 = 77,584,064/x
  3. Step 3: Cross multiply
    50,207,946x = 77,584,064 × 77,584,064
  4. Step 4: Simplify right side
    50,207,946x = 6,019,286,986,756,096
  5. Step 5: Solve for x
    x = 6,019,286,986,756,096/50,207,946
  6. Step 6: Final answer
    x = 119,887,138.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.