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Finding the Third Proportional to 5,424,738 and 11,604,487

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Solution

The third proportional to 5,424,738 and 11,604,487 is: 24,824,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424,738 : 11,604,487 = 11,604,487 : x
  2. Step 2: Convert to fraction form
    5,424,738/11,604,487 = 11,604,487/x
  3. Step 3: Cross multiply
    5,424,738x = 11,604,487 × 11,604,487
  4. Step 4: Simplify right side
    5,424,738x = 134,664,118,533,169
  5. Step 5: Solve for x
    x = 134,664,118,533,169/5,424,738
  6. Step 6: Final answer
    x = 24,824,077.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.