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Finding the Third Proportional to 10,125,174 and 22,173,612

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Solution

The third proportional to 10,125,174 and 22,173,612 is: 48,559,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125,174 : 22,173,612 = 22,173,612 : x
  2. Step 2: Convert to fraction form
    10,125,174/22,173,612 = 22,173,612/x
  3. Step 3: Cross multiply
    10,125,174x = 22,173,612 × 22,173,612
  4. Step 4: Simplify right side
    10,125,174x = 491,669,069,126,544
  5. Step 5: Solve for x
    x = 491,669,069,126,544/10,125,174
  6. Step 6: Final answer
    x = 48,559,073.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.