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Finding the Third Proportional to 33,140,690 and 72,017,900

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Solution

The third proportional to 33,140,690 and 72,017,900 is: 156,501,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140,690 : 72,017,900 = 72,017,900 : x
  2. Step 2: Convert to fraction form
    33,140,690/72,017,900 = 72,017,900/x
  3. Step 3: Cross multiply
    33,140,690x = 72,017,900 × 72,017,900
  4. Step 4: Simplify right side
    33,140,690x = 5,186,577,920,410,000
  5. Step 5: Solve for x
    x = 5,186,577,920,410,000/33,140,690
  6. Step 6: Final answer
    x = 156,501,808.51

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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.