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Finding the Third Proportional to 50,769,090 and 77,344,011

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Solution

The third proportional to 50,769,090 and 77,344,011 is: 117,829,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769,090 : 77,344,011 = 77,344,011 : x
  2. Step 2: Convert to fraction form
    50,769,090/77,344,011 = 77,344,011/x
  3. Step 3: Cross multiply
    50,769,090x = 77,344,011 × 77,344,011
  4. Step 4: Simplify right side
    50,769,090x = 5,982,096,037,568,121
  5. Step 5: Solve for x
    x = 5,982,096,037,568,121/50,769,090
  6. Step 6: Final answer
    x = 117,829,491.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.