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Finding the Third Proportional to 10,294,214 and 22,282,866

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Solution

The third proportional to 10,294,214 and 22,282,866 is: 48,233,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294,214 : 22,282,866 = 22,282,866 : x
  2. Step 2: Convert to fraction form
    10,294,214/22,282,866 = 22,282,866/x
  3. Step 3: Cross multiply
    10,294,214x = 22,282,866 × 22,282,866
  4. Step 4: Simplify right side
    10,294,214x = 496,526,117,173,956
  5. Step 5: Solve for x
    x = 496,526,117,173,956/10,294,214
  6. Step 6: Final answer
    x = 48,233,514.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.