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Finding the Third Proportional to 4,526,376 and 9,699,924

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Solution

The third proportional to 4,526,376 and 9,699,924 is: 20,786,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526,376 : 9,699,924 = 9,699,924 : x
  2. Step 2: Convert to fraction form
    4,526,376/9,699,924 = 9,699,924/x
  3. Step 3: Cross multiply
    4,526,376x = 9,699,924 × 9,699,924
  4. Step 4: Simplify right side
    4,526,376x = 94,088,525,605,776
  5. Step 5: Solve for x
    x = 94,088,525,605,776/4,526,376
  6. Step 6: Final answer
    x = 20,786,723.33

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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.