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Finding the Third Proportional to 5,386,500 and 11,529,621

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Solution

The third proportional to 5,386,500 and 11,529,621 is: 24,678,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,500 : 11,529,621 = 11,529,621 : x
  2. Step 2: Convert to fraction form
    5,386,500/11,529,621 = 11,529,621/x
  3. Step 3: Cross multiply
    5,386,500x = 11,529,621 × 11,529,621
  4. Step 4: Simplify right side
    5,386,500x = 132,932,160,403,641
  5. Step 5: Solve for x
    x = 132,932,160,403,641/5,386,500
  6. Step 6: Final answer
    x = 24,678,763.65

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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.