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Finding the Third Proportional to 40,769,862 and 86,261,952

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Solution

The third proportional to 40,769,862 and 86,261,952 is: 182,515,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,769,862 : 86,261,952 = 86,261,952 : x
  2. Step 2: Convert to fraction form
    40,769,862/86,261,952 = 86,261,952/x
  3. Step 3: Cross multiply
    40,769,862x = 86,261,952 × 86,261,952
  4. Step 4: Simplify right side
    40,769,862x = 7,441,124,362,850,304
  5. Step 5: Solve for x
    x = 7,441,124,362,850,304/40,769,862
  6. Step 6: Final answer
    x = 182,515,318.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.