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Finding the Third Proportional to 41,520,974 and 97,011,733.50

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Solution

The third proportional to 41,520,974 and 97,011,733.50 is: 226,663,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520,974 : 97,011,733.50 = 97,011,733.50 : x
  2. Step 2: Convert to fraction form
    41,520,974/97,011,733.50 = 97,011,733.50/x
  3. Step 3: Cross multiply
    41,520,974x = 97,011,733.50 × 97,011,733.50
  4. Step 4: Simplify right side
    41,520,974x = 9,411,276,436,675,022
  5. Step 5: Solve for x
    x = 9,411,276,436,675,022/41,520,974
  6. Step 6: Final answer
    x = 226,663,190.43

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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.