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Finding the Third Proportional to 32,999,520 and 71,054,272

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Solution

The third proportional to 32,999,520 and 71,054,272 is: 152,993,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999,520 : 71,054,272 = 71,054,272 : x
  2. Step 2: Convert to fraction form
    32,999,520/71,054,272 = 71,054,272/x
  3. Step 3: Cross multiply
    32,999,520x = 71,054,272 × 71,054,272
  4. Step 4: Simplify right side
    32,999,520x = 5,048,709,569,449,984
  5. Step 5: Solve for x
    x = 5,048,709,569,449,984/32,999,520
  6. Step 6: Final answer
    x = 152,993,424.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.