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Finding the Third Proportional to 7,663,407 and 12,771,834

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Solution

The third proportional to 7,663,407 and 12,771,834 is: 21,285,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,407 : 12,771,834 = 12,771,834 : x
  2. Step 2: Convert to fraction form
    7,663,407/12,771,834 = 12,771,834/x
  3. Step 3: Cross multiply
    7,663,407x = 12,771,834 × 12,771,834
  4. Step 4: Simplify right side
    7,663,407x = 163,119,743,723,556
  5. Step 5: Solve for x
    x = 163,119,743,723,556/7,663,407
  6. Step 6: Final answer
    x = 21,285,538.37

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.