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Finding the Third Proportional to 44,417,176 and 107,002,768

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Solution

The third proportional to 44,417,176 and 107,002,768 is: 257,773,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,417,176 : 107,002,768 = 107,002,768 : x
  2. Step 2: Convert to fraction form
    44,417,176/107,002,768 = 107,002,768/x
  3. Step 3: Cross multiply
    44,417,176x = 107,002,768 × 107,002,768
  4. Step 4: Simplify right side
    44,417,176x = 11,449,592,359,661,824
  5. Step 5: Solve for x
    x = 11,449,592,359,661,824/44,417,176
  6. Step 6: Final answer
    x = 257,773,982.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.