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Finding the Third Proportional to 49,465,041 and 72,758,142

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Solution

The third proportional to 49,465,041 and 72,758,142 is: 107,019,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,465,041 : 72,758,142 = 72,758,142 : x
  2. Step 2: Convert to fraction form
    49,465,041/72,758,142 = 72,758,142/x
  3. Step 3: Cross multiply
    49,465,041x = 72,758,142 × 72,758,142
  4. Step 4: Simplify right side
    49,465,041x = 5,293,747,227,292,164
  5. Step 5: Solve for x
    x = 5,293,747,227,292,164/49,465,041
  6. Step 6: Final answer
    x = 107,019,970.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.