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Finding the Third Proportional to 67,413,168 and 101,828,211

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Solution

The third proportional to 67,413,168 and 101,828,211 is: 153,812,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,413,168 : 101,828,211 = 101,828,211 : x
  2. Step 2: Convert to fraction form
    67,413,168/101,828,211 = 101,828,211/x
  3. Step 3: Cross multiply
    67,413,168x = 101,828,211 × 101,828,211
  4. Step 4: Simplify right side
    67,413,168x = 10,368,984,555,460,520
  5. Step 5: Solve for x
    x = 10,368,984,555,460,520/67,413,168
  6. Step 6: Final answer
    x = 153,812,450.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.