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Finding the Third Proportional to 10,499,596.50 and 21,727,473

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Solution

The third proportional to 10,499,596.50 and 21,727,473 is: 44,962,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499,596.50 : 21,727,473 = 21,727,473 : x
  2. Step 2: Convert to fraction form
    10,499,596.50/21,727,473 = 21,727,473/x
  3. Step 3: Cross multiply
    10,499,596.50x = 21,727,473 × 21,727,473
  4. Step 4: Simplify right side
    10,499,596.50x = 472,083,082,965,729
  5. Step 5: Solve for x
    x = 472,083,082,965,729/10,499,596.50
  6. Step 6: Final answer
    x = 44,962,021.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.