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Finding the Third Proportional to 133,017,438 and 310,788,753

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Solution

The third proportional to 133,017,438 and 310,788,753 is: 726,142,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,017,438 : 310,788,753 = 310,788,753 : x
  2. Step 2: Convert to fraction form
    133,017,438/310,788,753 = 310,788,753/x
  3. Step 3: Cross multiply
    133,017,438x = 310,788,753 × 310,788,753
  4. Step 4: Simplify right side
    133,017,438x = 96,589,648,991,295,008
  5. Step 5: Solve for x
    x = 96,589,648,991,295,008/133,017,438
  6. Step 6: Final answer
    x = 726,142,755.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.