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Finding the Third Proportional to 33,054,148 and 71,961,536

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Solution

The third proportional to 33,054,148 and 71,961,536 is: 156,666,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054,148 : 71,961,536 = 71,961,536 : x
  2. Step 2: Convert to fraction form
    33,054,148/71,961,536 = 71,961,536/x
  3. Step 3: Cross multiply
    33,054,148x = 71,961,536 × 71,961,536
  4. Step 4: Simplify right side
    33,054,148x = 5,178,462,663,479,296
  5. Step 5: Solve for x
    x = 5,178,462,663,479,296/33,054,148
  6. Step 6: Final answer
    x = 156,666,045.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.