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Finding the Third Proportional to 57,776,907 and 117,571,623

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Solution

The third proportional to 57,776,907 and 117,571,623 is: 239,249,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776,907 : 117,571,623 = 117,571,623 : x
  2. Step 2: Convert to fraction form
    57,776,907/117,571,623 = 117,571,623/x
  3. Step 3: Cross multiply
    57,776,907x = 117,571,623 × 117,571,623
  4. Step 4: Simplify right side
    57,776,907x = 13,823,086,534,854,128
  5. Step 5: Solve for x
    x = 13,823,086,534,854,128/57,776,907
  6. Step 6: Final answer
    x = 239,249,334.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.