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Finding the Third Proportional to 30,638,112 and 66,382,384

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Solution

The third proportional to 30,638,112 and 66,382,384 is: 143,828,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638,112 : 66,382,384 = 66,382,384 : x
  2. Step 2: Convert to fraction form
    30,638,112/66,382,384 = 66,382,384/x
  3. Step 3: Cross multiply
    30,638,112x = 66,382,384 × 66,382,384
  4. Step 4: Simplify right side
    30,638,112x = 4,406,620,905,523,456
  5. Step 5: Solve for x
    x = 4,406,620,905,523,456/30,638,112
  6. Step 6: Final answer
    x = 143,828,082.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.