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Finding the Third Proportional to 10,233,458 and 22,389,715

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Solution

The third proportional to 10,233,458 and 22,389,715 is: 48,986,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233,458 : 22,389,715 = 22,389,715 : x
  2. Step 2: Convert to fraction form
    10,233,458/22,389,715 = 22,389,715/x
  3. Step 3: Cross multiply
    10,233,458x = 22,389,715 × 22,389,715
  4. Step 4: Simplify right side
    10,233,458x = 501,299,337,781,225
  5. Step 5: Solve for x
    x = 501,299,337,781,225/10,233,458
  6. Step 6: Final answer
    x = 48,986,309.20

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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.