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Finding the Third Proportional to 32,999,524 and 71,054,280

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Solution

The third proportional to 32,999,524 and 71,054,280 is: 152,993,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999,524 : 71,054,280 = 71,054,280 : x
  2. Step 2: Convert to fraction form
    32,999,524/71,054,280 = 71,054,280/x
  3. Step 3: Cross multiply
    32,999,524x = 71,054,280 × 71,054,280
  4. Step 4: Simplify right side
    32,999,524x = 5,048,710,706,318,400
  5. Step 5: Solve for x
    x = 5,048,710,706,318,400/32,999,524
  6. Step 6: Final answer
    x = 152,993,440.34

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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.