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Finding the Third Proportional to 10,472,565 and 22,212,834

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Solution

The third proportional to 10,472,565 and 22,212,834 is: 47,114,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472,565 : 22,212,834 = 22,212,834 : x
  2. Step 2: Convert to fraction form
    10,472,565/22,212,834 = 22,212,834/x
  3. Step 3: Cross multiply
    10,472,565x = 22,212,834 × 22,212,834
  4. Step 4: Simplify right side
    10,472,565x = 493,409,994,311,556
  5. Step 5: Solve for x
    x = 493,409,994,311,556/10,472,565
  6. Step 6: Final answer
    x = 47,114,531.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.