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Finding the Third Proportional to 4,526,315 and 9,699,813

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Solution

The third proportional to 4,526,315 and 9,699,813 is: 20,786,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526,315 : 9,699,813 = 9,699,813 : x
  2. Step 2: Convert to fraction form
    4,526,315/9,699,813 = 9,699,813/x
  3. Step 3: Cross multiply
    4,526,315x = 9,699,813 × 9,699,813
  4. Step 4: Simplify right side
    4,526,315x = 94,086,372,234,969
  5. Step 5: Solve for x
    x = 94,086,372,234,969/4,526,315
  6. Step 6: Final answer
    x = 20,786,527.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.