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Finding the Third Proportional to 40,598,778 and 94,733,751

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Solution

The third proportional to 40,598,778 and 94,733,751 is: 221,053,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,598,778 : 94,733,751 = 94,733,751 : x
  2. Step 2: Convert to fraction form
    40,598,778/94,733,751 = 94,733,751/x
  3. Step 3: Cross multiply
    40,598,778x = 94,733,751 × 94,733,751
  4. Step 4: Simplify right side
    40,598,778x = 8,974,483,578,530,001
  5. Step 5: Solve for x
    x = 8,974,483,578,530,001/40,598,778
  6. Step 6: Final answer
    x = 221,053,046.93

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.