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Finding the Third Proportional to 35,761,911 and 77,240,912

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Solution

The third proportional to 35,761,911 and 77,240,912 is: 166,829,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,761,911 : 77,240,912 = 77,240,912 : x
  2. Step 2: Convert to fraction form
    35,761,911/77,240,912 = 77,240,912/x
  3. Step 3: Cross multiply
    35,761,911x = 77,240,912 × 77,240,912
  4. Step 4: Simplify right side
    35,761,911x = 5,966,158,486,591,744
  5. Step 5: Solve for x
    x = 5,966,158,486,591,744/35,761,911
  6. Step 6: Final answer
    x = 166,829,968.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.