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Finding the Third Proportional to 29,809,944 and 44,864,178.75

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Solution

The third proportional to 29,809,944 and 44,864,178.75 is: 67,520,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809,944 : 44,864,178.75 = 44,864,178.75 : x
  2. Step 2: Convert to fraction form
    29,809,944/44,864,178.75 = 44,864,178.75/x
  3. Step 3: Cross multiply
    29,809,944x = 44,864,178.75 × 44,864,178.75
  4. Step 4: Simplify right side
    29,809,944x = 2,012,794,534,911,951.50
  5. Step 5: Solve for x
    x = 2,012,794,534,911,951.50/29,809,944
  6. Step 6: Final answer
    x = 67,520,909.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.