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Finding the Third Proportional to 10,149,873 and 22,318,590

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Solution

The third proportional to 10,149,873 and 22,318,590 is: 49,076,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,873 : 22,318,590 = 22,318,590 : x
  2. Step 2: Convert to fraction form
    10,149,873/22,318,590 = 22,318,590/x
  3. Step 3: Cross multiply
    10,149,873x = 22,318,590 × 22,318,590
  4. Step 4: Simplify right side
    10,149,873x = 498,119,459,588,100
  5. Step 5: Solve for x
    x = 498,119,459,588,100/10,149,873
  6. Step 6: Final answer
    x = 49,076,422.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.