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Finding the Third Proportional to 113,809,740 and 268,574,016

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Solution

The third proportional to 113,809,740 and 268,574,016 is: 633,794,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,809,740 : 268,574,016 = 268,574,016 : x
  2. Step 2: Convert to fraction form
    113,809,740/268,574,016 = 268,574,016/x
  3. Step 3: Cross multiply
    113,809,740x = 268,574,016 × 268,574,016
  4. Step 4: Simplify right side
    113,809,740x = 72,132,002,070,368,256
  5. Step 5: Solve for x
    x = 72,132,002,070,368,256/113,809,740
  6. Step 6: Final answer
    x = 633,794,630.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.