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Finding the Third Proportional to 10,241,188.50 and 22,000,479

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Solution

The third proportional to 10,241,188.50 and 22,000,479 is: 47,262,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241,188.50 : 22,000,479 = 22,000,479 : x
  2. Step 2: Convert to fraction form
    10,241,188.50/22,000,479 = 22,000,479/x
  3. Step 3: Cross multiply
    10,241,188.50x = 22,000,479 × 22,000,479
  4. Step 4: Simplify right side
    10,241,188.50x = 484,021,076,229,441
  5. Step 5: Solve for x
    x = 484,021,076,229,441/10,241,188.50
  6. Step 6: Final answer
    x = 47,262,197.76

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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.