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Finding the Third Proportional to 10,489,586 and 15,830,763

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Solution

The third proportional to 10,489,586 and 15,830,763 is: 23,891,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489,586 : 15,830,763 = 15,830,763 : x
  2. Step 2: Convert to fraction form
    10,489,586/15,830,763 = 15,830,763/x
  3. Step 3: Cross multiply
    10,489,586x = 15,830,763 × 15,830,763
  4. Step 4: Simplify right side
    10,489,586x = 250,613,057,162,169
  5. Step 5: Solve for x
    x = 250,613,057,162,169/10,489,586
  6. Step 6: Final answer
    x = 23,891,606.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.