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Finding the Third Proportional to 49,453,770 and 72,699,235

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Solution

The third proportional to 49,453,770 and 72,699,235 is: 106,871,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,453,770 : 72,699,235 = 72,699,235 : x
  2. Step 2: Convert to fraction form
    49,453,770/72,699,235 = 72,699,235/x
  3. Step 3: Cross multiply
    49,453,770x = 72,699,235 × 72,699,235
  4. Step 4: Simplify right side
    49,453,770x = 5,285,178,769,585,225
  5. Step 5: Solve for x
    x = 5,285,178,769,585,225/49,453,770
  6. Step 6: Final answer
    x = 106,871,099.40

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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.