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Finding the Third Proportional to 35,047,149 and 76,701,135

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Solution

The third proportional to 35,047,149 and 76,701,135 is: 167,861,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,047,149 : 76,701,135 = 76,701,135 : x
  2. Step 2: Convert to fraction form
    35,047,149/76,701,135 = 76,701,135/x
  3. Step 3: Cross multiply
    35,047,149x = 76,701,135 × 76,701,135
  4. Step 4: Simplify right side
    35,047,149x = 5,883,064,110,288,225
  5. Step 5: Solve for x
    x = 5,883,064,110,288,225/35,047,149
  6. Step 6: Final answer
    x = 167,861,417.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.