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Finding the Third Proportional to 9,459,706 and 20,686,058

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Solution

The third proportional to 9,459,706 and 20,686,058 is: 45,235,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459,706 : 20,686,058 = 20,686,058 : x
  2. Step 2: Convert to fraction form
    9,459,706/20,686,058 = 20,686,058/x
  3. Step 3: Cross multiply
    9,459,706x = 20,686,058 × 20,686,058
  4. Step 4: Simplify right side
    9,459,706x = 427,912,995,579,364
  5. Step 5: Solve for x
    x = 427,912,995,579,364/9,459,706
  6. Step 6: Final answer
    x = 45,235,337.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.