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Finding the Third Proportional to 9,506,218 and 20,527,824

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Solution

The third proportional to 9,506,218 and 20,527,824 is: 44,327,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506,218 : 20,527,824 = 20,527,824 : x
  2. Step 2: Convert to fraction form
    9,506,218/20,527,824 = 20,527,824/x
  3. Step 3: Cross multiply
    9,506,218x = 20,527,824 × 20,527,824
  4. Step 4: Simplify right side
    9,506,218x = 421,391,558,174,976
  5. Step 5: Solve for x
    x = 421,391,558,174,976/9,506,218
  6. Step 6: Final answer
    x = 44,327,992.29

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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.